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Finding the Fourth Proportional to 272.47, 408.55 and 185.92

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Solution

The fourth proportional to 272.47, 408.55 and 185.92 is: 278.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.47 : 408.55 = 185.92 : x
  2. Step 2: Convert to fraction form
    272.47/408.55 = 185.92/x
  3. Step 3: Cross multiply
    272.47x = 408.55 × 185.92
  4. Step 4: Simplify right side
    272.47x = 75,957.62
  5. Step 5: Solve for x
    x = 75,957.62/272.47
  6. Step 6: Final answer
    x = 278.77

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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.