Let \( x \) be the number of students in the Ski/Snowboard Club last year. According to the problem, enrollment increased by 30%, which can be expressed as:
\[ x + 0.30x = 182 \]
This can be simplified to:
\[ 1.30x = 182 \]
To find \( x \), divide both sides by 1.30:
\[ x = \frac{182}{1.30} \]
Calculating the right-hand side:
\[ x = \frac{182}{1.30} = 140 \]
Thus, the number of students in the Ski/Snowboard Club last year was \( \boxed{140} \).