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Finding the Fourth Proportional to 220.84, 331.31 and 66.78

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Solution

The fourth proportional to 220.84, 331.31 and 66.78 is: 100.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.84 : 331.31 = 66.78 : x
  2. Step 2: Convert to fraction form
    220.84/331.31 = 66.78/x
  3. Step 3: Cross multiply
    220.84x = 331.31 × 66.78
  4. Step 4: Simplify right side
    220.84x = 22,124.88
  5. Step 5: Solve for x
    x = 22,124.88/220.84
  6. Step 6: Final answer
    x = 100.18

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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.