Your answer should be 3.28 * 10^2 kJ/kg/K
Heat lost by 160g water = Heat gained by 205g ice
m*c*(change in Temp) = m*(latent heat of fusion)
0.160 * 4200 * (100-0) (you left this out) = 0.205 * (latent heat of fusion)
latent heat of fusion = 327804 = 3.28 * 10^2 kJ/kg/K