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Finding the Fourth Proportional to 140.86, 211.43 and 76.78

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Solution

The fourth proportional to 140.86, 211.43 and 76.78 is: 115.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.86 : 211.43 = 76.78 : x
  2. Step 2: Convert to fraction form
    140.86/211.43 = 76.78/x
  3. Step 3: Cross multiply
    140.86x = 211.43 × 76.78
  4. Step 4: Simplify right side
    140.86x = 16,233.60
  5. Step 5: Solve for x
    x = 16,233.60/140.86
  6. Step 6: Final answer
    x = 115.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.