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Finding the Fourth Proportional to 297.97, 447.17 and 176.27

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Solution

The fourth proportional to 297.97, 447.17 and 176.27 is: 264.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.97 : 447.17 = 176.27 : x
  2. Step 2: Convert to fraction form
    297.97/447.17 = 176.27/x
  3. Step 3: Cross multiply
    297.97x = 447.17 × 176.27
  4. Step 4: Simplify right side
    297.97x = 78,819.54
  5. Step 5: Solve for x
    x = 78,819.54/297.97
  6. Step 6: Final answer
    x = 264.52

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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.