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Finding the Fourth Proportional to 331.90, 497.31 and 149.02

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Solution

The fourth proportional to 331.90, 497.31 and 149.02 is: 223.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.90 : 497.31 = 149.02 : x
  2. Step 2: Convert to fraction form
    331.90/497.31 = 149.02/x
  3. Step 3: Cross multiply
    331.90x = 497.31 × 149.02
  4. Step 4: Simplify right side
    331.90x = 74,109.14
  5. Step 5: Solve for x
    x = 74,109.14/331.90
  6. Step 6: Final answer
    x = 223.29

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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.