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Finding the Fourth Proportional to 201.11, 277.37 and 134.75

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Solution

The fourth proportional to 201.11, 277.37 and 134.75 is: 185.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.11 : 277.37 = 134.75 : x
  2. Step 2: Convert to fraction form
    201.11/277.37 = 134.75/x
  3. Step 3: Cross multiply
    201.11x = 277.37 × 134.75
  4. Step 4: Simplify right side
    201.11x = 37,375.61
  5. Step 5: Solve for x
    x = 37,375.61/201.11
  6. Step 6: Final answer
    x = 185.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.