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Finding the Fourth Proportional to 197.43, 272.02 and 131.82

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Solution

The fourth proportional to 197.43, 272.02 and 131.82 is: 181.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.43 : 272.02 = 131.82 : x
  2. Step 2: Convert to fraction form
    197.43/272.02 = 131.82/x
  3. Step 3: Cross multiply
    197.43x = 272.02 × 131.82
  4. Step 4: Simplify right side
    197.43x = 35,857.68
  5. Step 5: Solve for x
    x = 35,857.68/197.43
  6. Step 6: Final answer
    x = 181.62

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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.