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Finding the Fourth Proportional to 225.47, 338.13 and 77.21

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Solution

The fourth proportional to 225.47, 338.13 and 77.21 is: 115.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.47 : 338.13 = 77.21 : x
  2. Step 2: Convert to fraction form
    225.47/338.13 = 77.21/x
  3. Step 3: Cross multiply
    225.47x = 338.13 × 77.21
  4. Step 4: Simplify right side
    225.47x = 26,105.33
  5. Step 5: Solve for x
    x = 26,105.33/225.47
  6. Step 6: Final answer
    x = 115.78

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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.