Step 1 :The problem is asking for the number of boys in a preschool where the ratio of boys to girls is 3:4 and the total number of students is 245.
Step 2 :To solve this, we can first calculate the total parts in the ratio, which is 3 (for boys) + 4 (for girls) = 7.
Step 3 :Then, we can find the value of each part by dividing the total number of students by the total parts in the ratio. So, \(\frac{245}{7} = 35\).
Step 4 :Finally, we can find the number of boys by multiplying the value of each part by the number of parts for boys. So, \(35 \times 3 = 105\).
Step 5 :Final Answer: The number of boys in the preschool is \(\boxed{105}\).