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Finding the Fourth Proportional to 140.31, 209.78 and 118.89

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Solution

The fourth proportional to 140.31, 209.78 and 118.89 is: 177.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.31 : 209.78 = 118.89 : x
  2. Step 2: Convert to fraction form
    140.31/209.78 = 118.89/x
  3. Step 3: Cross multiply
    140.31x = 209.78 × 118.89
  4. Step 4: Simplify right side
    140.31x = 24,939.69
  5. Step 5: Solve for x
    x = 24,939.69/140.31
  6. Step 6: Final answer
    x = 177.74

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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.