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Finding the Fourth Proportional to 331.90, 497.95 and 149.28

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Solution

The fourth proportional to 331.90, 497.95 and 149.28 is: 223.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.90 : 497.95 = 149.28 : x
  2. Step 2: Convert to fraction form
    331.90/497.95 = 149.28/x
  3. Step 3: Cross multiply
    331.90x = 497.95 × 149.28
  4. Step 4: Simplify right side
    331.90x = 74,331.74
  5. Step 5: Solve for x
    x = 74,331.74/331.90
  6. Step 6: Final answer
    x = 223.96

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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.