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Finding the Fourth Proportional to 144.62, 197.97 and 139.96

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Solution

The fourth proportional to 144.62, 197.97 and 139.96 is: 191.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.62 : 197.97 = 139.96 : x
  2. Step 2: Convert to fraction form
    144.62/197.97 = 139.96/x
  3. Step 3: Cross multiply
    144.62x = 197.97 × 139.96
  4. Step 4: Simplify right side
    144.62x = 27,707.39
  5. Step 5: Solve for x
    x = 27,707.39/144.62
  6. Step 6: Final answer
    x = 191.59

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.