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Finding the Fourth Proportional to 217.82, 326.70 and 96.02

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Solution

The fourth proportional to 217.82, 326.70 and 96.02 is: 144.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.82 : 326.70 = 96.02 : x
  2. Step 2: Convert to fraction form
    217.82/326.70 = 96.02/x
  3. Step 3: Cross multiply
    217.82x = 326.70 × 96.02
  4. Step 4: Simplify right side
    217.82x = 31,369.73
  5. Step 5: Solve for x
    x = 31,369.73/217.82
  6. Step 6: Final answer
    x = 144.02

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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.