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Finding the Fourth Proportional to 217.92, 326.56 and 109.72

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Solution

The fourth proportional to 217.92, 326.56 and 109.72 is: 164.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.92 : 326.56 = 109.72 : x
  2. Step 2: Convert to fraction form
    217.92/326.56 = 109.72/x
  3. Step 3: Cross multiply
    217.92x = 326.56 × 109.72
  4. Step 4: Simplify right side
    217.92x = 35,830.16
  5. Step 5: Solve for x
    x = 35,830.16/217.92
  6. Step 6: Final answer
    x = 164.42

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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.