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Finding the Fourth Proportional to 521.22, 781.68 and 155.90

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Solution

The fourth proportional to 521.22, 781.68 and 155.90 is: 233.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.22 : 781.68 = 155.90 : x
  2. Step 2: Convert to fraction form
    521.22/781.68 = 155.90/x
  3. Step 3: Cross multiply
    521.22x = 781.68 × 155.90
  4. Step 4: Simplify right side
    521.22x = 121,863.91
  5. Step 5: Solve for x
    x = 121,863.91/521.22
  6. Step 6: Final answer
    x = 233.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.