Let's denote the total number of free throws Caroline attempted as \( x \).
Since she misses 20% of her attempts, the number of missed free throws can be represented by the equation:
\[ 0.20x = 69 \]
To find \( x \), we can solve the equation by dividing both sides by 0.20:
\[ x = \frac{69}{0.20} \]
Calculating the right side:
\[ x = \frac{69}{0.20} = 69 \div 0.20 = 69 \times 5 = 345 \]
Thus, the total number of free throws Caroline attempted is
\[ \boxed{345} \]