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Finding the Fourth Proportional to 219.44, 329.07 and 75.17

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Solution

The fourth proportional to 219.44, 329.07 and 75.17 is: 112.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.44 : 329.07 = 75.17 : x
  2. Step 2: Convert to fraction form
    219.44/329.07 = 75.17/x
  3. Step 3: Cross multiply
    219.44x = 329.07 × 75.17
  4. Step 4: Simplify right side
    219.44x = 24,736.19
  5. Step 5: Solve for x
    x = 24,736.19/219.44
  6. Step 6: Final answer
    x = 112.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.