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Finding the Fourth Proportional to 197.97, 273.28 and 132.45

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Solution

The fourth proportional to 197.97, 273.28 and 132.45 is: 182.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.97 : 273.28 = 132.45 : x
  2. Step 2: Convert to fraction form
    197.97/273.28 = 132.45/x
  3. Step 3: Cross multiply
    197.97x = 273.28 × 132.45
  4. Step 4: Simplify right side
    197.97x = 36,197.13
  5. Step 5: Solve for x
    x = 36,197.13/197.97
  6. Step 6: Final answer
    x = 182.84

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