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Finding the Fourth Proportional to 331.96, 498.04 and 149.40

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Solution

The fourth proportional to 331.96, 498.04 and 149.40 is: 224.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.96 : 498.04 = 149.40 : x
  2. Step 2: Convert to fraction form
    331.96/498.04 = 149.40/x
  3. Step 3: Cross multiply
    331.96x = 498.04 × 149.40
  4. Step 4: Simplify right side
    331.96x = 74,407.18
  5. Step 5: Solve for x
    x = 74,407.18/331.96
  6. Step 6: Final answer
    x = 224.15

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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.