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Finding the Fourth Proportional to 138.80, 209.44 and 133.44

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Solution

The fourth proportional to 138.80, 209.44 and 133.44 is: 201.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.80 : 209.44 = 133.44 : x
  2. Step 2: Convert to fraction form
    138.80/209.44 = 133.44/x
  3. Step 3: Cross multiply
    138.80x = 209.44 × 133.44
  4. Step 4: Simplify right side
    138.80x = 27,947.67
  5. Step 5: Solve for x
    x = 27,947.67/138.80
  6. Step 6: Final answer
    x = 201.35

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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.