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Finding the Fourth Proportional to 197.32, 296 and 75.69

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Solution

The fourth proportional to 197.32, 296 and 75.69 is: 113.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.32 : 296 = 75.69 : x
  2. Step 2: Convert to fraction form
    197.32/296 = 75.69/x
  3. Step 3: Cross multiply
    197.32x = 296 × 75.69
  4. Step 4: Simplify right side
    197.32x = 22,404.24
  5. Step 5: Solve for x
    x = 22,404.24/197.32
  6. Step 6: Final answer
    x = 113.54

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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.