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Finding the Fourth Proportional to 197.60, 296.32 and 75.82

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Solution

The fourth proportional to 197.60, 296.32 and 75.82 is: 113.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.60 : 296.32 = 75.82 : x
  2. Step 2: Convert to fraction form
    197.60/296.32 = 75.82/x
  3. Step 3: Cross multiply
    197.60x = 296.32 × 75.82
  4. Step 4: Simplify right side
    197.60x = 22,466.98
  5. Step 5: Solve for x
    x = 22,466.98/197.60
  6. Step 6: Final answer
    x = 113.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.