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Finding the Fourth Proportional to 201.92, 301.41 and 187.47

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Solution

The fourth proportional to 201.92, 301.41 and 187.47 is: 279.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.92 : 301.41 = 187.47 : x
  2. Step 2: Convert to fraction form
    201.92/301.41 = 187.47/x
  3. Step 3: Cross multiply
    201.92x = 301.41 × 187.47
  4. Step 4: Simplify right side
    201.92x = 56,505.33
  5. Step 5: Solve for x
    x = 56,505.33/201.92
  6. Step 6: Final answer
    x = 279.85

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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.