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Finding the Fourth Proportional to 197.65, 296.25 and 75.86

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Solution

The fourth proportional to 197.65, 296.25 and 75.86 is: 113.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.65 : 296.25 = 75.86 : x
  2. Step 2: Convert to fraction form
    197.65/296.25 = 75.86/x
  3. Step 3: Cross multiply
    197.65x = 296.25 × 75.86
  4. Step 4: Simplify right side
    197.65x = 22,473.53
  5. Step 5: Solve for x
    x = 22,473.53/197.65
  6. Step 6: Final answer
    x = 113.70

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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.