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Finding the Fourth Proportional to 138.26, 206.65 and 120.18

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Solution

The fourth proportional to 138.26, 206.65 and 120.18 is: 179.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.26 : 206.65 = 120.18 : x
  2. Step 2: Convert to fraction form
    138.26/206.65 = 120.18/x
  3. Step 3: Cross multiply
    138.26x = 206.65 × 120.18
  4. Step 4: Simplify right side
    138.26x = 24,835.20
  5. Step 5: Solve for x
    x = 24,835.20/138.26
  6. Step 6: Final answer
    x = 179.63

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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.