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Finding the Fourth Proportional to 215.92, 297.92 and 122.66

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Solution

The fourth proportional to 215.92, 297.92 and 122.66 is: 169.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.92 : 297.92 = 122.66 : x
  2. Step 2: Convert to fraction form
    215.92/297.92 = 122.66/x
  3. Step 3: Cross multiply
    215.92x = 297.92 × 122.66
  4. Step 4: Simplify right side
    215.92x = 36,542.87
  5. Step 5: Solve for x
    x = 36,542.87/215.92
  6. Step 6: Final answer
    x = 169.24

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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.