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Finding the Fourth Proportional to 331.43, 497.14 and 169.22

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Solution

The fourth proportional to 331.43, 497.14 and 169.22 is: 253.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.43 : 497.14 = 169.22 : x
  2. Step 2: Convert to fraction form
    331.43/497.14 = 169.22/x
  3. Step 3: Cross multiply
    331.43x = 497.14 × 169.22
  4. Step 4: Simplify right side
    331.43x = 84,126.85
  5. Step 5: Solve for x
    x = 84,126.85/331.43
  6. Step 6: Final answer
    x = 253.83

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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.