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Finding the Fourth Proportional to 507.97, 761.88 and 142.77

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Solution

The fourth proportional to 507.97, 761.88 and 142.77 is: 214.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    507.97 : 761.88 = 142.77 : x
  2. Step 2: Convert to fraction form
    507.97/761.88 = 142.77/x
  3. Step 3: Cross multiply
    507.97x = 761.88 × 142.77
  4. Step 4: Simplify right side
    507.97x = 108,773.61
  5. Step 5: Solve for x
    x = 108,773.61/507.97
  6. Step 6: Final answer
    x = 214.13

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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.