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Finding the Fourth Proportional to 272.92, 408.92 and 175.18

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Solution

The fourth proportional to 272.92, 408.92 and 175.18 is: 262.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.92 : 408.92 = 175.18 : x
  2. Step 2: Convert to fraction form
    272.92/408.92 = 175.18/x
  3. Step 3: Cross multiply
    272.92x = 408.92 × 175.18
  4. Step 4: Simplify right side
    272.92x = 71,634.61
  5. Step 5: Solve for x
    x = 71,634.61/272.92
  6. Step 6: Final answer
    x = 262.47

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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.