Finding the Fourth Proportional to 209.15, 312 and 175.13
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Solution
The fourth proportional to 209.15, 312 and 175.13 is: 261.25
Step by Step Solution
- Step 1: Write the proportion equation
209.15 : 312 = 175.13 : x - Step 2: Convert to fraction form
209.15/312 = 175.13/x - Step 3: Cross multiply
209.15x = 312 × 175.13 - Step 4: Simplify right side
209.15x = 54,640.56 - Step 5: Solve for x
x = 54,640.56/209.15 - Step 6: Final answer
x = 261.25
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Why These Related Problems?
These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.