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Finding the Fourth Proportional to 508.87, 763.24 and 143.70

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Solution

The fourth proportional to 508.87, 763.24 and 143.70 is: 215.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.87 : 763.24 = 143.70 : x
  2. Step 2: Convert to fraction form
    508.87/763.24 = 143.70/x
  3. Step 3: Cross multiply
    508.87x = 763.24 × 143.70
  4. Step 4: Simplify right side
    508.87x = 109,677.59
  5. Step 5: Solve for x
    x = 109,677.59/508.87
  6. Step 6: Final answer
    x = 215.53

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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.