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Finding the Fourth Proportional to 331.82, 497.76 and 100.76

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Solution

The fourth proportional to 331.82, 497.76 and 100.76 is: 151.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.82 : 497.76 = 100.76 : x
  2. Step 2: Convert to fraction form
    331.82/497.76 = 100.76/x
  3. Step 3: Cross multiply
    331.82x = 497.76 × 100.76
  4. Step 4: Simplify right side
    331.82x = 50,154.30
  5. Step 5: Solve for x
    x = 50,154.30/331.82
  6. Step 6: Final answer
    x = 151.15

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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.