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Finding the Fourth Proportional to 217.66, 325.99 and 109.19

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Solution

The fourth proportional to 217.66, 325.99 and 109.19 is: 163.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.66 : 325.99 = 109.19 : x
  2. Step 2: Convert to fraction form
    217.66/325.99 = 109.19/x
  3. Step 3: Cross multiply
    217.66x = 325.99 × 109.19
  4. Step 4: Simplify right side
    217.66x = 35,594.30
  5. Step 5: Solve for x
    x = 35,594.30/217.66
  6. Step 6: Final answer
    x = 163.53

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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.