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Finding the Fourth Proportional to 197.57, 296.30 and 75.84

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Solution

The fourth proportional to 197.57, 296.30 and 75.84 is: 113.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.57 : 296.30 = 75.84 : x
  2. Step 2: Convert to fraction form
    197.57/296.30 = 75.84/x
  3. Step 3: Cross multiply
    197.57x = 296.30 × 75.84
  4. Step 4: Simplify right side
    197.57x = 22,471.58
  5. Step 5: Solve for x
    x = 22,471.58/197.57
  6. Step 6: Final answer
    x = 113.74

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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.