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Finding the Fourth Proportional to 331.38, 497.10 and 148.74

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Solution

The fourth proportional to 331.38, 497.10 and 148.74 is: 223.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.38 : 497.10 = 148.74 : x
  2. Step 2: Convert to fraction form
    331.38/497.10 = 148.74/x
  3. Step 3: Cross multiply
    331.38x = 497.10 × 148.74
  4. Step 4: Simplify right side
    331.38x = 73,938.65
  5. Step 5: Solve for x
    x = 73,938.65/331.38
  6. Step 6: Final answer
    x = 223.12

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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.