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Finding the Fourth Proportional to 138.69, 207.09 and 133.56

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Solution

The fourth proportional to 138.69, 207.09 and 133.56 is: 199.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.69 : 207.09 = 133.56 : x
  2. Step 2: Convert to fraction form
    138.69/207.09 = 133.56/x
  3. Step 3: Cross multiply
    138.69x = 207.09 × 133.56
  4. Step 4: Simplify right side
    138.69x = 27,658.94
  5. Step 5: Solve for x
    x = 27,658.94/138.69
  6. Step 6: Final answer
    x = 199.43

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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.