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Finding the Fourth Proportional to 197.57, 272.76 and 132.23

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Solution

The fourth proportional to 197.57, 272.76 and 132.23 is: 182.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.57 : 272.76 = 132.23 : x
  2. Step 2: Convert to fraction form
    197.57/272.76 = 132.23/x
  3. Step 3: Cross multiply
    197.57x = 272.76 × 132.23
  4. Step 4: Simplify right side
    197.57x = 36,067.05
  5. Step 5: Solve for x
    x = 36,067.05/197.57
  6. Step 6: Final answer
    x = 182.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.