Let us say the solution is X.
Amount of X at the start `= 1.6/1000xx72 = 0.1152mol`
This 0.1152 mol will be diluted until the volume become 278ml.
So now we have 0.1152 moles of X in 278ml of solution. Assume the the moles of X are equally distributed over the solution.
Then we separate 139ml of the above solution.
Amount of X in 139ml `= 0.1152/278xx139 = 0.0576mol`
So we have 0.0576 moles of X of X in 139ml of the solution. Then we add 155ml of water.
Final volume of the solution `= 155+139 = 294ml`
So final mixture we have 0.0576moles of X diluted in 294ml solution.
Concentration of final mix `= 0.0576/294xx1000 = 0.1959M`
So the concentration of the final mixture is 0.1959M.