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Finding the Fourth Proportional to 197.53, 296.17 and 75.74

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Solution

The fourth proportional to 197.53, 296.17 and 75.74 is: 113.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.53 : 296.17 = 75.74 : x
  2. Step 2: Convert to fraction form
    197.53/296.17 = 75.74/x
  3. Step 3: Cross multiply
    197.53x = 296.17 × 75.74
  4. Step 4: Simplify right side
    197.53x = 22,431.92
  5. Step 5: Solve for x
    x = 22,431.92/197.53
  6. Step 6: Final answer
    x = 113.56

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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.