To determine how many posts there are, we first convert three quarters of a kilometer into meters:
\[ 0.75 \text{ km} = 0.75 \times 1000 \text{ m} = 750 \text{ m} \]
Next, since the posts are 3.75 meters apart, we can calculate the number of gaps between the posts by dividing the total distance by the distance between each post:
\[ \text{Number of gaps} = \frac{750 \text{ m}}{3.75 \text{ m}} = 200 \]
Since the number of posts is one more than the number of gaps, we add 1:
\[ \text{Number of posts} = 200 + 1 = 201 \]
Therefore, the total number of posts is 201.