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Finding the Fourth Proportional to 197.52, 296.32 and 125.20

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Solution

The fourth proportional to 197.52, 296.32 and 125.20 is: 187.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.52 : 296.32 = 125.20 : x
  2. Step 2: Convert to fraction form
    197.52/296.32 = 125.20/x
  3. Step 3: Cross multiply
    197.52x = 296.32 × 125.20
  4. Step 4: Simplify right side
    197.52x = 37,099.26
  5. Step 5: Solve for x
    x = 37,099.26/197.52
  6. Step 6: Final answer
    x = 187.83

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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.