I think what Colin is trying to get you to understand, is that because you already replaced your resistor, you may have replaced it with one that has the same resistance, but does not have the original wattage capability.
If that is true, your resistor keeps burning-up, because it can't handle the wattage.
You may not know the composition of the original resistor (what it's made out of), or that of the replacement resistor.
Logically then, it is possible your resistor won't burn-up anymore if you replace it with a resistor capable of handling the original wattage, or something bigger (wattage, not resistance).
I think Colin is just trying to help you determine if a low-wattage resistor alone, is the source of your problem.