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Finding the Fourth Proportional to 220.82, 331.17 and 143.78

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Solution

The fourth proportional to 220.82, 331.17 and 143.78 is: 215.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.82 : 331.17 = 143.78 : x
  2. Step 2: Convert to fraction form
    220.82/331.17 = 143.78/x
  3. Step 3: Cross multiply
    220.82x = 331.17 × 143.78
  4. Step 4: Simplify right side
    220.82x = 47,613.43
  5. Step 5: Solve for x
    x = 47,613.43/220.82
  6. Step 6: Final answer
    x = 215.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.