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Finding the Fourth Proportional to 217.42, 326.13 and 73.14

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Solution

The fourth proportional to 217.42, 326.13 and 73.14 is: 109.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.42 : 326.13 = 73.14 : x
  2. Step 2: Convert to fraction form
    217.42/326.13 = 73.14/x
  3. Step 3: Cross multiply
    217.42x = 326.13 × 73.14
  4. Step 4: Simplify right side
    217.42x = 23,853.96
  5. Step 5: Solve for x
    x = 23,853.96/217.42
  6. Step 6: Final answer
    x = 109.71

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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.