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Finding the Fourth Proportional to 140.54, 212.06 and 137.78

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Solution

The fourth proportional to 140.54, 212.06 and 137.78 is: 207.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.54 : 212.06 = 137.78 : x
  2. Step 2: Convert to fraction form
    140.54/212.06 = 137.78/x
  3. Step 3: Cross multiply
    140.54x = 212.06 × 137.78
  4. Step 4: Simplify right side
    140.54x = 29,217.63
  5. Step 5: Solve for x
    x = 29,217.63/140.54
  6. Step 6: Final answer
    x = 207.90

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.