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Finding the Fourth Proportional to 138.62, 207.04 and 119.41

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Solution

The fourth proportional to 138.62, 207.04 and 119.41 is: 178.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.62 : 207.04 = 119.41 : x
  2. Step 2: Convert to fraction form
    138.62/207.04 = 119.41/x
  3. Step 3: Cross multiply
    138.62x = 207.04 × 119.41
  4. Step 4: Simplify right side
    138.62x = 24,722.65
  5. Step 5: Solve for x
    x = 24,722.65/138.62
  6. Step 6: Final answer
    x = 178.35

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.