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Finding the Fourth Proportional to 197.44, 272.40 and 119.80

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Solution

The fourth proportional to 197.44, 272.40 and 119.80 is: 165.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.44 : 272.40 = 119.80 : x
  2. Step 2: Convert to fraction form
    197.44/272.40 = 119.80/x
  3. Step 3: Cross multiply
    197.44x = 272.40 × 119.80
  4. Step 4: Simplify right side
    197.44x = 32,633.52
  5. Step 5: Solve for x
    x = 32,633.52/197.44
  6. Step 6: Final answer
    x = 165.28

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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.