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Finding the Fourth Proportional to 249.20, 373.77 and 95.15

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Solution

The fourth proportional to 249.20, 373.77 and 95.15 is: 142.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.20 : 373.77 = 95.15 : x
  2. Step 2: Convert to fraction form
    249.20/373.77 = 95.15/x
  3. Step 3: Cross multiply
    249.20x = 373.77 × 95.15
  4. Step 4: Simplify right side
    249.20x = 35,562.35
  5. Step 5: Solve for x
    x = 35,562.35/249.20
  6. Step 6: Final answer
    x = 142.71

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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.