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Finding the Fourth Proportional to 219.97, 330.15 and 111.82

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Solution

The fourth proportional to 219.97, 330.15 and 111.82 is: 167.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.97 : 330.15 = 111.82 : x
  2. Step 2: Convert to fraction form
    219.97/330.15 = 111.82/x
  3. Step 3: Cross multiply
    219.97x = 330.15 × 111.82
  4. Step 4: Simplify right side
    219.97x = 36,917.37
  5. Step 5: Solve for x
    x = 36,917.37/219.97
  6. Step 6: Final answer
    x = 167.83

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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.