To determine approximately what percentage of the total number of girls prefer the starry night theme, follow these steps:
1. Identify the total number of girls polled. According to the table, the total number of girls is 196.
2. Identify the number of girls who prefer the starry night theme. From the table, this number is 92.
3. Calculate the percentage of girls who prefer the starry night theme by dividing the number of girls who prefer the starry night theme by the total number of girls and then multiplying the result by 100 to convert it to a percentage.
[tex]\[
\text{Percentage} = \left(\frac{\text{Number of girls who prefer starry night}}{\text{Total number of girls}}\right) \times 100
\][/tex]
Substituting the numbers:
[tex]\[
\text{Percentage} = \left(\frac{92}{196}\right) \times 100
\][/tex]
Performing the division and multiplication:
[tex]\[
\text{Percentage} = 46.9\%
\][/tex]
Therefore, the correct answer is approximately [tex]\(46.9\%\)[/tex].
