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Finding the Fourth Proportional to 197.92, 296.96 and 82.50

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Solution

The fourth proportional to 197.92, 296.96 and 82.50 is: 123.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.92 : 296.96 = 82.50 : x
  2. Step 2: Convert to fraction form
    197.92/296.96 = 82.50/x
  3. Step 3: Cross multiply
    197.92x = 296.96 × 82.50
  4. Step 4: Simplify right side
    197.92x = 24,497.67
  5. Step 5: Solve for x
    x = 24,497.67/197.92
  6. Step 6: Final answer
    x = 123.77

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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.