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Finding the Fourth Proportional to 197.61, 296.43 and 75.90

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Solution

The fourth proportional to 197.61, 296.43 and 75.90 is: 113.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.61 : 296.43 = 75.90 : x
  2. Step 2: Convert to fraction form
    197.61/296.43 = 75.90/x
  3. Step 3: Cross multiply
    197.61x = 296.43 × 75.90
  4. Step 4: Simplify right side
    197.61x = 22,499.86
  5. Step 5: Solve for x
    x = 22,499.86/197.61
  6. Step 6: Final answer
    x = 113.86

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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.