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Finding the Fourth Proportional to 138.14, 208.43 and 133.59

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Solution

The fourth proportional to 138.14, 208.43 and 133.59 is: 201.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.14 : 208.43 = 133.59 : x
  2. Step 2: Convert to fraction form
    138.14/208.43 = 133.59/x
  3. Step 3: Cross multiply
    138.14x = 208.43 × 133.59
  4. Step 4: Simplify right side
    138.14x = 27,843.50
  5. Step 5: Solve for x
    x = 27,843.50/138.14
  6. Step 6: Final answer
    x = 201.57

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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.