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Finding the Fourth Proportional to 225.38, 338.05 and 71.30

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Solution

The fourth proportional to 225.38, 338.05 and 71.30 is: 106.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.38 : 338.05 = 71.30 : x
  2. Step 2: Convert to fraction form
    225.38/338.05 = 71.30/x
  3. Step 3: Cross multiply
    225.38x = 338.05 × 71.30
  4. Step 4: Simplify right side
    225.38x = 24,102.97
  5. Step 5: Solve for x
    x = 24,102.97/225.38
  6. Step 6: Final answer
    x = 106.94

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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.