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Finding the Fourth Proportional to 197.56, 296.32 and 81.98

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Solution

The fourth proportional to 197.56, 296.32 and 81.98 is: 122.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.56 : 296.32 = 81.98 : x
  2. Step 2: Convert to fraction form
    197.56/296.32 = 81.98/x
  3. Step 3: Cross multiply
    197.56x = 296.32 × 81.98
  4. Step 4: Simplify right side
    197.56x = 24,290.63
  5. Step 5: Solve for x
    x = 24,290.63/197.56
  6. Step 6: Final answer
    x = 122.95

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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.