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Finding the Fourth Proportional to 197.67, 296.54 and 82.13

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Solution

The fourth proportional to 197.67, 296.54 and 82.13 is: 123.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.67 : 296.54 = 82.13 : x
  2. Step 2: Convert to fraction form
    197.67/296.54 = 82.13/x
  3. Step 3: Cross multiply
    197.67x = 296.54 × 82.13
  4. Step 4: Simplify right side
    197.67x = 24,352.94
  5. Step 5: Solve for x
    x = 24,352.94/197.67
  6. Step 6: Final answer
    x = 123.20

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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.