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Finding the Fourth Proportional to 138.81, 206.78 and 133.80

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Solution

The fourth proportional to 138.81, 206.78 and 133.80 is: 199.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.81 : 206.78 = 133.80 : x
  2. Step 2: Convert to fraction form
    138.81/206.78 = 133.80/x
  3. Step 3: Cross multiply
    138.81x = 206.78 × 133.80
  4. Step 4: Simplify right side
    138.81x = 27,667.26
  5. Step 5: Solve for x
    x = 27,667.26/138.81
  6. Step 6: Final answer
    x = 199.31

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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.