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Finding the Fourth Proportional to 141.78, 197.01 and 140.28

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Solution

The fourth proportional to 141.78, 197.01 and 140.28 is: 194.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.78 : 197.01 = 140.28 : x
  2. Step 2: Convert to fraction form
    141.78/197.01 = 140.28/x
  3. Step 3: Cross multiply
    141.78x = 197.01 × 140.28
  4. Step 4: Simplify right side
    141.78x = 27,636.56
  5. Step 5: Solve for x
    x = 27,636.56/141.78
  6. Step 6: Final answer
    x = 194.93

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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.