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Finding the Fourth Proportional to 219.34, 329.06 and 82.43

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Solution

The fourth proportional to 219.34, 329.06 and 82.43 is: 123.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.34 : 329.06 = 82.43 : x
  2. Step 2: Convert to fraction form
    219.34/329.06 = 82.43/x
  3. Step 3: Cross multiply
    219.34x = 329.06 × 82.43
  4. Step 4: Simplify right side
    219.34x = 27,122.98
  5. Step 5: Solve for x
    x = 27,122.98/219.34
  6. Step 6: Final answer
    x = 123.66

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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.