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Finding the Fourth Proportional to 217.36, 325.81 and 140.38

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Solution

The fourth proportional to 217.36, 325.81 and 140.38 is: 210.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.36 : 325.81 = 140.38 : x
  2. Step 2: Convert to fraction form
    217.36/325.81 = 140.38/x
  3. Step 3: Cross multiply
    217.36x = 325.81 × 140.38
  4. Step 4: Simplify right side
    217.36x = 45,736.57
  5. Step 5: Solve for x
    x = 45,736.57/217.36
  6. Step 6: Final answer
    x = 210.42

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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.