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Finding the Fourth Proportional to 217.56, 326.04 and 95.96

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Solution

The fourth proportional to 217.56, 326.04 and 95.96 is: 143.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.56 : 326.04 = 95.96 : x
  2. Step 2: Convert to fraction form
    217.56/326.04 = 95.96/x
  3. Step 3: Cross multiply
    217.56x = 326.04 × 95.96
  4. Step 4: Simplify right side
    217.56x = 31,286.80
  5. Step 5: Solve for x
    x = 31,286.80/217.56
  6. Step 6: Final answer
    x = 143.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.