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Finding the Fourth Proportional to 219.88, 329.68 and 75.57

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Solution

The fourth proportional to 219.88, 329.68 and 75.57 is: 113.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.88 : 329.68 = 75.57 : x
  2. Step 2: Convert to fraction form
    219.88/329.68 = 75.57/x
  3. Step 3: Cross multiply
    219.88x = 329.68 × 75.57
  4. Step 4: Simplify right side
    219.88x = 24,913.92
  5. Step 5: Solve for x
    x = 24,913.92/219.88
  6. Step 6: Final answer
    x = 113.31

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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.