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Finding the Fourth Proportional to 138.05, 206.97 and 119.02

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Solution

The fourth proportional to 138.05, 206.97 and 119.02 is: 178.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.05 : 206.97 = 119.02 : x
  2. Step 2: Convert to fraction form
    138.05/206.97 = 119.02/x
  3. Step 3: Cross multiply
    138.05x = 206.97 × 119.02
  4. Step 4: Simplify right side
    138.05x = 24,633.05
  5. Step 5: Solve for x
    x = 24,633.05/138.05
  6. Step 6: Final answer
    x = 178.43

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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.