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Finding the Fourth Proportional to 272.14, 408.10 and 127.76

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Solution

The fourth proportional to 272.14, 408.10 and 127.76 is: 191.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.14 : 408.10 = 127.76 : x
  2. Step 2: Convert to fraction form
    272.14/408.10 = 127.76/x
  3. Step 3: Cross multiply
    272.14x = 408.10 × 127.76
  4. Step 4: Simplify right side
    272.14x = 52,138.86
  5. Step 5: Solve for x
    x = 52,138.86/272.14
  6. Step 6: Final answer
    x = 191.59

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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.