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Finding the Fourth Proportional to 197.71, 272.74 and 132.23

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Solution

The fourth proportional to 197.71, 272.74 and 132.23 is: 182.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.71 : 272.74 = 132.23 : x
  2. Step 2: Convert to fraction form
    197.71/272.74 = 132.23/x
  3. Step 3: Cross multiply
    197.71x = 272.74 × 132.23
  4. Step 4: Simplify right side
    197.71x = 36,063.75
  5. Step 5: Solve for x
    x = 36,063.75/197.71
  6. Step 6: Final answer
    x = 182.41

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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.