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Finding the Fourth Proportional to 331.92, 498.04 and 149.44

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Solution

The fourth proportional to 331.92, 498.04 and 149.44 is: 224.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.92 : 498.04 = 149.44 : x
  2. Step 2: Convert to fraction form
    331.92/498.04 = 149.44/x
  3. Step 3: Cross multiply
    331.92x = 498.04 × 149.44
  4. Step 4: Simplify right side
    331.92x = 74,427.10
  5. Step 5: Solve for x
    x = 74,427.10/331.92
  6. Step 6: Final answer
    x = 224.23

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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.