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Finding the Fourth Proportional to 197.82, 296.42 and 82.17

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Solution

The fourth proportional to 197.82, 296.42 and 82.17 is: 123.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.82 : 296.42 = 82.17 : x
  2. Step 2: Convert to fraction form
    197.82/296.42 = 82.17/x
  3. Step 3: Cross multiply
    197.82x = 296.42 × 82.17
  4. Step 4: Simplify right side
    197.82x = 24,355.93
  5. Step 5: Solve for x
    x = 24,355.93/197.82
  6. Step 6: Final answer
    x = 123.12

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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.