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Finding the Fourth Proportional to 276.13, 414.20 and 127.87

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Solution

The fourth proportional to 276.13, 414.20 and 127.87 is: 191.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    276.13 : 414.20 = 127.87 : x
  2. Step 2: Convert to fraction form
    276.13/414.20 = 127.87/x
  3. Step 3: Cross multiply
    276.13x = 414.20 × 127.87
  4. Step 4: Simplify right side
    276.13x = 52,962.28
  5. Step 5: Solve for x
    x = 52,962.28/276.13
  6. Step 6: Final answer
    x = 191.80

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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.