Once the metal is placed in the calorimeter, there will be a transfer of heat from the metal to the water, as both equilibrate to the same final temperature 22.7C.
As for the water, the absorbed heat reads: Q = m c_{H20} (T_f - T_i), where T_i = 20C (initial temperature)
T_f = 22.7C (final temperature)
m = mass of water = 120g
c_{H20} = 4.184 J/gC (specific heat)
Plugging in the numbers gives the numerical result