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Finding the Fourth Proportional to 331.47, 498.09 and 169.26

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Solution

The fourth proportional to 331.47, 498.09 and 169.26 is: 254.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.47 : 498.09 = 169.26 : x
  2. Step 2: Convert to fraction form
    331.47/498.09 = 169.26/x
  3. Step 3: Cross multiply
    331.47x = 498.09 × 169.26
  4. Step 4: Simplify right side
    331.47x = 84,306.71
  5. Step 5: Solve for x
    x = 84,306.71/331.47
  6. Step 6: Final answer
    x = 254.34

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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.