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Finding the Fourth Proportional to 138.78, 207.23 and 133.77

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Solution

The fourth proportional to 138.78, 207.23 and 133.77 is: 199.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.78 : 207.23 = 133.77 : x
  2. Step 2: Convert to fraction form
    138.78/207.23 = 133.77/x
  3. Step 3: Cross multiply
    138.78x = 207.23 × 133.77
  4. Step 4: Simplify right side
    138.78x = 27,720.49
  5. Step 5: Solve for x
    x = 27,720.49/138.78
  6. Step 6: Final answer
    x = 199.74

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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.