The chemical reaction that appears between the given compounds, ferrous sulfate and barium hydroxide, is a double replacement reaction. This is due to the activity series of the metals being able to replace either of them in the compound. To balance the chemical reaction, ensure that the number of moles of each of the atoms in both sides of the equation are equal.
The answer to this item is,
FeSO₄(aq) + Ba(OH)₂(aq) --> BaSO₄(s) + Fe(OH)₂ (aq)
As can be seen in the resulting equation, it does not need to be modified to balance it.