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Finding the Fourth Proportional to 219.32, 329.02 and 82.37

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Solution

The fourth proportional to 219.32, 329.02 and 82.37 is: 123.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.32 : 329.02 = 82.37 : x
  2. Step 2: Convert to fraction form
    219.32/329.02 = 82.37/x
  3. Step 3: Cross multiply
    219.32x = 329.02 × 82.37
  4. Step 4: Simplify right side
    219.32x = 27,101.38
  5. Step 5: Solve for x
    x = 27,101.38/219.32
  6. Step 6: Final answer
    x = 123.57

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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.