Step 1 :The question is asking to order the choices from most popular to least popular. This means we need to order the fractions from largest to smallest.
Step 2 :First, we need to convert all the fractions to the same format. We can convert all the fractions to decimals for easy comparison.
Step 3 :The fractions are \(\frac{1}{5}\), 0.3, \(\sqrt{0.02}\), and 37.5\%.
Step 4 :We can convert \(\frac{1}{5}\) to decimal by dividing 1 by 5.
Step 5 :We can convert \(\sqrt{0.02}\) to decimal by taking the square root of 0.02.
Step 6 :We can convert 37.5\% to decimal by dividing 37.5 by 100.
Step 7 :After converting all the fractions to decimals, we can compare them and order them from largest to smallest.
Step 8 :The decimal values for Dallas World Aquarium, Urban Air, Perot Museum, and Fort Worth Zoo are 0.2, 0.3, approximately 0.141, and 0.375 respectively.
Step 9 :Ordering these from largest to smallest gives: Fort Worth Zoo, Urban Air, Dallas World Aquarium, Perot Museum.
Step 10 :Final Answer: The list that shows their selections in order of most popular to least popular is \(\boxed{\text{Fort Worth Zoo, Urban Air, Dallas World Aquarium, Perot Museum}}\).