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Finding the Fourth Proportional to 140.41, 191.26 and 137.71

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Solution

The fourth proportional to 140.41, 191.26 and 137.71 is: 187.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.41 : 191.26 = 137.71 : x
  2. Step 2: Convert to fraction form
    140.41/191.26 = 137.71/x
  3. Step 3: Cross multiply
    140.41x = 191.26 × 137.71
  4. Step 4: Simplify right side
    140.41x = 26,338.41
  5. Step 5: Solve for x
    x = 26,338.41/140.41
  6. Step 6: Final answer
    x = 187.58

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.