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Finding the Fourth Proportional to 219.86, 329.70 and 82.83

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Solution

The fourth proportional to 219.86, 329.70 and 82.83 is: 124.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.86 : 329.70 = 82.83 : x
  2. Step 2: Convert to fraction form
    219.86/329.70 = 82.83/x
  3. Step 3: Cross multiply
    219.86x = 329.70 × 82.83
  4. Step 4: Simplify right side
    219.86x = 27,310.60
  5. Step 5: Solve for x
    x = 27,310.60/219.86
  6. Step 6: Final answer
    x = 124.22

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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.