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Finding the Fourth Proportional to 201.38, 301.95 and 185.78

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Solution

The fourth proportional to 201.38, 301.95 and 185.78 is: 278.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.38 : 301.95 = 185.78 : x
  2. Step 2: Convert to fraction form
    201.38/301.95 = 185.78/x
  3. Step 3: Cross multiply
    201.38x = 301.95 × 185.78
  4. Step 4: Simplify right side
    201.38x = 56,094.76
  5. Step 5: Solve for x
    x = 56,094.76/201.38
  6. Step 6: Final answer
    x = 278.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.