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Finding the Fourth Proportional to 220.84, 331.18 and 82

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Solution

The fourth proportional to 220.84, 331.18 and 82 is: 122.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.84 : 331.18 = 82 : x
  2. Step 2: Convert to fraction form
    220.84/331.18 = 82/x
  3. Step 3: Cross multiply
    220.84x = 331.18 × 82
  4. Step 4: Simplify right side
    220.84x = 27,156.76
  5. Step 5: Solve for x
    x = 27,156.76/220.84
  6. Step 6: Final answer
    x = 122.97

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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.