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Finding the Fourth Proportional to 144.97, 199.68 and 138.91

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Solution

The fourth proportional to 144.97, 199.68 and 138.91 is: 191.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.97 : 199.68 = 138.91 : x
  2. Step 2: Convert to fraction form
    144.97/199.68 = 138.91/x
  3. Step 3: Cross multiply
    144.97x = 199.68 × 138.91
  4. Step 4: Simplify right side
    144.97x = 27,737.55
  5. Step 5: Solve for x
    x = 27,737.55/144.97
  6. Step 6: Final answer
    x = 191.33

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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.