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Finding the Fourth Proportional to 331.95, 498.17 and 149.46

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Solution

The fourth proportional to 331.95, 498.17 and 149.46 is: 224.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.95 : 498.17 = 149.46 : x
  2. Step 2: Convert to fraction form
    331.95/498.17 = 149.46/x
  3. Step 3: Cross multiply
    331.95x = 498.17 × 149.46
  4. Step 4: Simplify right side
    331.95x = 74,456.49
  5. Step 5: Solve for x
    x = 74,456.49/331.95
  6. Step 6: Final answer
    x = 224.30

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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.