Finding the Fourth Proportional to 209, 313.50 and 95
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Solution
The fourth proportional to 209, 313.50 and 95 is: 142.50
Step by Step Solution
- Step 1: Write the proportion equation
209 : 313.50 = 95 : x - Step 2: Convert to fraction form
209/313.50 = 95/x - Step 3: Cross multiply
209x = 313.50 × 95 - Step 4: Simplify right side
209x = 29,782.50 - Step 5: Solve for x
x = 29,782.50/209 - Step 6: Final answer
x = 142.50
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.