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Finding the Fourth Proportional to 266.20, 399.04 and 129.27

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Solution

The fourth proportional to 266.20, 399.04 and 129.27 is: 193.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.20 : 399.04 = 129.27 : x
  2. Step 2: Convert to fraction form
    266.20/399.04 = 129.27/x
  3. Step 3: Cross multiply
    266.20x = 399.04 × 129.27
  4. Step 4: Simplify right side
    266.20x = 51,583.58
  5. Step 5: Solve for x
    x = 51,583.58/266.20
  6. Step 6: Final answer
    x = 193.78

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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.