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Finding the Fourth Proportional to 225.76, 337.68 and 134.24

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Solution

The fourth proportional to 225.76, 337.68 and 134.24 is: 200.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.76 : 337.68 = 134.24 : x
  2. Step 2: Convert to fraction form
    225.76/337.68 = 134.24/x
  3. Step 3: Cross multiply
    225.76x = 337.68 × 134.24
  4. Step 4: Simplify right side
    225.76x = 45,330.16
  5. Step 5: Solve for x
    x = 45,330.16/225.76
  6. Step 6: Final answer
    x = 200.79

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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.