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Finding the Fourth Proportional to 140.40, 193.50 and 136.31

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Solution

The fourth proportional to 140.40, 193.50 and 136.31 is: 187.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.40 : 193.50 = 136.31 : x
  2. Step 2: Convert to fraction form
    140.40/193.50 = 136.31/x
  3. Step 3: Cross multiply
    140.40x = 193.50 × 136.31
  4. Step 4: Simplify right side
    140.40x = 26,375.02
  5. Step 5: Solve for x
    x = 26,375.02/140.40
  6. Step 6: Final answer
    x = 187.86

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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.