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Finding the Fourth Proportional to 217.28, 325.94 and 109.10

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Solution

The fourth proportional to 217.28, 325.94 and 109.10 is: 163.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.28 : 325.94 = 109.10 : x
  2. Step 2: Convert to fraction form
    217.28/325.94 = 109.10/x
  3. Step 3: Cross multiply
    217.28x = 325.94 × 109.10
  4. Step 4: Simplify right side
    217.28x = 35,560.05
  5. Step 5: Solve for x
    x = 35,560.05/217.28
  6. Step 6: Final answer
    x = 163.66

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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.