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Finding the Fourth Proportional to 217.52, 326.33 and 95.84

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Solution

The fourth proportional to 217.52, 326.33 and 95.84 is: 143.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.52 : 326.33 = 95.84 : x
  2. Step 2: Convert to fraction form
    217.52/326.33 = 95.84/x
  3. Step 3: Cross multiply
    217.52x = 326.33 × 95.84
  4. Step 4: Simplify right side
    217.52x = 31,273.36
  5. Step 5: Solve for x
    x = 31,273.36/217.52
  6. Step 6: Final answer
    x = 143.78

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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.