Yes, you need to report this income.
Because it was less than $600, the radio station was not required to send you a 1099-MISC (although they could have).
In TurboTax, go to Wages & Income->Less Common Income->Prizes, Awards, and Gambling winnings and click Start. Enter the interview, read the questions carefully, and you will be able to enter the prize winnings without the need for a form.
Note: the navigation above came from the desktop product - the wording on the Online product may vary.
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