One string on a guitar is exactly in tune. The guitarist uses this string to produce a tone with a frequency of $196$ Hz by pressing down at the proper fret. An adjacent string can also be used to produce this tone without being pressed against a fret. However, this adjacent string is out of tune and produces a tone that sounds lower in frequency than the other tone. When the tones are produced simultaneously, the beat frequency is $5\mathrm{.}0$ Hz$.$ What frequency does the adjacent string produce?

$186$ Hz

$196$ Hz

$171$ Hz

$191$ Hz

$201$ Hz