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Finding the Fourth Proportional to 197.56, 272.72 and 119.92

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Solution

The fourth proportional to 197.56, 272.72 and 119.92 is: 165.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.56 : 272.72 = 119.92 : x
  2. Step 2: Convert to fraction form
    197.56/272.72 = 119.92/x
  3. Step 3: Cross multiply
    197.56x = 272.72 × 119.92
  4. Step 4: Simplify right side
    197.56x = 32,704.58
  5. Step 5: Solve for x
    x = 32,704.58/197.56
  6. Step 6: Final answer
    x = 165.54

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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.