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Finding the Fourth Proportional to 217.19, 325.37 and 109.05

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Solution

The fourth proportional to 217.19, 325.37 and 109.05 is: 163.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.19 : 325.37 = 109.05 : x
  2. Step 2: Convert to fraction form
    217.19/325.37 = 109.05/x
  3. Step 3: Cross multiply
    217.19x = 325.37 × 109.05
  4. Step 4: Simplify right side
    217.19x = 35,481.05
  5. Step 5: Solve for x
    x = 35,481.05/217.19
  6. Step 6: Final answer
    x = 163.37

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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.