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Finding the Fourth Proportional to 219.67, 329.50 and 75.38

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Solution

The fourth proportional to 219.67, 329.50 and 75.38 is: 113.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.67 : 329.50 = 75.38 : x
  2. Step 2: Convert to fraction form
    219.67/329.50 = 75.38/x
  3. Step 3: Cross multiply
    219.67x = 329.50 × 75.38
  4. Step 4: Simplify right side
    219.67x = 24,836.16
  5. Step 5: Solve for x
    x = 24,836.16/219.67
  6. Step 6: Final answer
    x = 113.06

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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.