Answer
See the answer below.
Work Step by Step
Number of moles of ibuprofen:
$0.200\ g\div 206.29\ g/mol=9.70\times10^{-4}\ mol$
1:1 stoichiometry with NaOH
$9.70\times10^{-4}\ mol\div 0.0259\ M=0.037\ L=37.4\ mL$
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