It's just a simple way to ensure the fan gets the current it needs. It's not a reverse polarity protection cct.
What's the equivalent resistance of the fan at operating values?
12 V / 0.16 A = 75 Ohms
But more importantly, what's the power rating?
1.92W or ~2W
If your supply is ready to crank out 15W, do you think there might be a problem?
The wart is just waiting for a circuit to hook-up to. You can be a fan and say, "Please sir, I only want 160mA", and the wart will say, "meh...fuck it, have about a pound".
Now that I think about it more, the resistor should be in parallel (instead of series), to act as a bleeder. That way, if 300mA is coming in and 140mA needs to be bled off, it makes the calculation trivial. I think my brain was stuck on voltages when I mentioned it earlier (due to some side experiment).
An 85 Ohm resistor (~2W) across each fan would allow them to run smoothly or a 21 Ohm across the lot (but it's pushing 10W+ ! ).
Although, a more proper "hack" in this case would be a JFET or Op-Amp as current regulator (still needs a resistor).
Or in line with the classics, use an LM317 as a current regulator by tying output and "ADJ" with a set resistor (which allows control to 1.5A). Everyone should have an LM317 in their "tinker box" for these sorts of occasions.
Regardless, I stand corrected. Thank you for bringing that to my attention.