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Finding the Fourth Proportional to 140.16, 194.22 and 138.42

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Solution

The fourth proportional to 140.16, 194.22 and 138.42 is: 191.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.16 : 194.22 = 138.42 : x
  2. Step 2: Convert to fraction form
    140.16/194.22 = 138.42/x
  3. Step 3: Cross multiply
    140.16x = 194.22 × 138.42
  4. Step 4: Simplify right side
    140.16x = 26,883.93
  5. Step 5: Solve for x
    x = 26,883.93/140.16
  6. Step 6: Final answer
    x = 191.81

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.