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Finding the Fourth Proportional to 197.42, 272.38 and 141.42

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Solution

The fourth proportional to 197.42, 272.38 and 141.42 is: 195.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.42 : 272.38 = 141.42 : x
  2. Step 2: Convert to fraction form
    197.42/272.38 = 141.42/x
  3. Step 3: Cross multiply
    197.42x = 272.38 × 141.42
  4. Step 4: Simplify right side
    197.42x = 38,519.98
  5. Step 5: Solve for x
    x = 38,519.98/197.42
  6. Step 6: Final answer
    x = 195.12

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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.