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Finding the Fourth Proportional to 252.47, 379.41 and 149.78

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Solution

The fourth proportional to 252.47, 379.41 and 149.78 is: 225.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.47 : 379.41 = 149.78 : x
  2. Step 2: Convert to fraction form
    252.47/379.41 = 149.78/x
  3. Step 3: Cross multiply
    252.47x = 379.41 × 149.78
  4. Step 4: Simplify right side
    252.47x = 56,826.13
  5. Step 5: Solve for x
    x = 56,826.13/252.47
  6. Step 6: Final answer
    x = 225.09

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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.