\( \definecolor{colordef}{RGB}{249,49,84} \definecolor{colorprop}{RGB}{18,102,241} \)
Suppose \(X\) represents the height (in centimeters) of men, and it follows a normal distribution with a mean of 175.3 cm and a standard deviation of 7.1 cm. A builder wants to design a door height such that at least 95\(\pourcent\) of men can walk through without ducking. Using a
, find this height (i.e., the 95th percentile). Round your answer to one decimal place.
\(x \approx\)