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Finding the Fourth Proportional to 363.50, 545.67 and 171.14

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Solution

The fourth proportional to 363.50, 545.67 and 171.14 is: 256.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.50 : 545.67 = 171.14 : x
  2. Step 2: Convert to fraction form
    363.50/545.67 = 171.14/x
  3. Step 3: Cross multiply
    363.50x = 545.67 × 171.14
  4. Step 4: Simplify right side
    363.50x = 93,385.96
  5. Step 5: Solve for x
    x = 93,385.96/363.50
  6. Step 6: Final answer
    x = 256.91

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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.