no typo on my part. thats the part that gets me because the original question has 5.5 m = 5.5 molality and 1.2 M = 1.2 molarity so they want you to go from molality (m) to molarity (M)
Recall 1 kg water = 1L m moles NaOH / 1 Kg = moles NaOH / 1L = 5.5
(.065 L )(5.5) = 0.36 moles NaOH
Now you have added 65 mL so far. Let X = amount of water needed to dilute NaOH to 1.2 M
M = moles / L ( 0.36 moles NaOH / (0.065 + x) L ) = 1.2 M NaOH
0.078 + 1.2X = 0.35 1.2x = 0.282 x = 0.282 / 1.2 = 0.235
0.235 L = 235 mL