I took a peak at your save and have a few observations:
1) You will not get a sub 240 win on that map. Without mountains, salt or some special features, it will be very tough to win in under 240 turns.
2) You only have 3 cities, and none are power houses. You are only at 381 beaker a turn at turn 191. That is more likely what you'll have before 150 on a sub 240 turn win. Heck, most games.
3) You have 1 single caravan running between your cities. You should have caravans feeding your capital at the least. Probably 1 from each city you have.
4) You do not have a single city state ally and Alexander is not on the map, so there isn't much of an excuse. You also have not discovered very many of them. You need to explorer with a caravel at this point.
5) As Babylon, you should have at least 1 planted GS. 3 is more typical.
6) Babylon's strength is generating great scientists, you should take advantage of that with gardens and the national epic.
7) After reaching Scientific Theory, you should take Industrialization and work on factories while bee-lining to Radio to open up your ideology (Order). At the vary least, you should have built factories. If you had made 3, that would also open up your ideology.
8) You do have decent gold output, but not because you have any markets or banks. Your caravans are all going outward for gold. If/when you decide to send them to your own cities to make them large, you'll have to rely on your markets/banks/etc to keep your gold up.
I'm sure others may have more in depth responses, but that is what popped out at me so far. If you do make a 4th city and grow your total population a bit, you will be forced to seek out those city states, as you will be struggling on happiness.