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Finding the Fourth Proportional to 217.38, 326.24 and 101.96

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Solution

The fourth proportional to 217.38, 326.24 and 101.96 is: 153.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.38 : 326.24 = 101.96 : x
  2. Step 2: Convert to fraction form
    217.38/326.24 = 101.96/x
  3. Step 3: Cross multiply
    217.38x = 326.24 × 101.96
  4. Step 4: Simplify right side
    217.38x = 33,263.43
  5. Step 5: Solve for x
    x = 33,263.43/217.38
  6. Step 6: Final answer
    x = 153.02

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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.