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Finding the Fourth Proportional to 331.74, 497.61 and 169.47

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Solution

The fourth proportional to 331.74, 497.61 and 169.47 is: 254.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.74 : 497.61 = 169.47 : x
  2. Step 2: Convert to fraction form
    331.74/497.61 = 169.47/x
  3. Step 3: Cross multiply
    331.74x = 497.61 × 169.47
  4. Step 4: Simplify right side
    331.74x = 84,329.97
  5. Step 5: Solve for x
    x = 84,329.97/331.74
  6. Step 6: Final answer
    x = 254.21

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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.