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Finding the Fourth Proportional to 197.73, 272.49 and 142.38

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Solution

The fourth proportional to 197.73, 272.49 and 142.38 is: 196.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.73 : 272.49 = 142.38 : x
  2. Step 2: Convert to fraction form
    197.73/272.49 = 142.38/x
  3. Step 3: Cross multiply
    197.73x = 272.49 × 142.38
  4. Step 4: Simplify right side
    197.73x = 38,797.13
  5. Step 5: Solve for x
    x = 38,797.13/197.73
  6. Step 6: Final answer
    x = 196.21

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Why These Related Problems?

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