The key to satiety is eating the right foods AND eating enough. A higher volume of fatty foods really can be the key. Instead of a small chicken breast or steak with a side of vegetables, try a salad with a meat of choice, chopped up bacon, avocado, a few bell peppers, and dress with some olive oil!
Source: Holt SH, Miller JC, Petocz P, Farmakalidis E. A satiety index of common foods. Eur J Clin Nutr. 1995 Sep;49(9):675-90.