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Finding the Fourth Proportional to 331.25, 496.86 and 100.14

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Solution

The fourth proportional to 331.25, 496.86 and 100.14 is: 150.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.25 : 496.86 = 100.14 : x
  2. Step 2: Convert to fraction form
    331.25/496.86 = 100.14/x
  3. Step 3: Cross multiply
    331.25x = 496.86 × 100.14
  4. Step 4: Simplify right side
    331.25x = 49,755.56
  5. Step 5: Solve for x
    x = 49,755.56/331.25
  6. Step 6: Final answer
    x = 150.21

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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.