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Finding the Fourth Proportional to 297.92, 411.14 and 165.15

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Solution

The fourth proportional to 297.92, 411.14 and 165.15 is: 227.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.92 : 411.14 = 165.15 : x
  2. Step 2: Convert to fraction form
    297.92/411.14 = 165.15/x
  3. Step 3: Cross multiply
    297.92x = 411.14 × 165.15
  4. Step 4: Simplify right side
    297.92x = 67,899.56
  5. Step 5: Solve for x
    x = 67,899.56/297.92
  6. Step 6: Final answer
    x = 227.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.