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Finding the Fourth Proportional to 197.44, 272.88 and 195.76

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Solution

The fourth proportional to 197.44, 272.88 and 195.76 is: 270.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.44 : 272.88 = 195.76 : x
  2. Step 2: Convert to fraction form
    197.44/272.88 = 195.76/x
  3. Step 3: Cross multiply
    197.44x = 272.88 × 195.76
  4. Step 4: Simplify right side
    197.44x = 53,418.99
  5. Step 5: Solve for x
    x = 53,418.99/197.44
  6. Step 6: Final answer
    x = 270.56

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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.