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Finding the Fourth Proportional to 137.92, 205.40 and 133.13

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Solution

The fourth proportional to 137.92, 205.40 and 133.13 is: 198.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.92 : 205.40 = 133.13 : x
  2. Step 2: Convert to fraction form
    137.92/205.40 = 133.13/x
  3. Step 3: Cross multiply
    137.92x = 205.40 × 133.13
  4. Step 4: Simplify right side
    137.92x = 27,344.90
  5. Step 5: Solve for x
    x = 27,344.90/137.92
  6. Step 6: Final answer
    x = 198.27

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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.