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Finding the Fourth Proportional to 197.76, 296.64 and 83.76

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Solution

The fourth proportional to 197.76, 296.64 and 83.76 is: 125.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.76 : 296.64 = 83.76 : x
  2. Step 2: Convert to fraction form
    197.76/296.64 = 83.76/x
  3. Step 3: Cross multiply
    197.76x = 296.64 × 83.76
  4. Step 4: Simplify right side
    197.76x = 24,846.57
  5. Step 5: Solve for x
    x = 24,846.57/197.76
  6. Step 6: Final answer
    x = 125.64

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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.