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Finding the Fourth Proportional to 197.76, 272.89 and 132.15

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Solution

The fourth proportional to 197.76, 272.89 and 132.15 is: 182.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.76 : 272.89 = 132.15 : x
  2. Step 2: Convert to fraction form
    197.76/272.89 = 132.15/x
  3. Step 3: Cross multiply
    197.76x = 272.89 × 132.15
  4. Step 4: Simplify right side
    197.76x = 36,062.41
  5. Step 5: Solve for x
    x = 36,062.41/197.76
  6. Step 6: Final answer
    x = 182.35

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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.