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Finding the Fourth Proportional to 219.73, 329.56 and 75.45

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Solution

The fourth proportional to 219.73, 329.56 and 75.45 is: 113.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.73 : 329.56 = 75.45 : x
  2. Step 2: Convert to fraction form
    219.73/329.56 = 75.45/x
  3. Step 3: Cross multiply
    219.73x = 329.56 × 75.45
  4. Step 4: Simplify right side
    219.73x = 24,865.30
  5. Step 5: Solve for x
    x = 24,865.30/219.73
  6. Step 6: Final answer
    x = 113.16

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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.