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Finding the Fourth Proportional to 201.20, 301.56 and 115.52

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Solution

The fourth proportional to 201.20, 301.56 and 115.52 is: 173.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.20 : 301.56 = 115.52 : x
  2. Step 2: Convert to fraction form
    201.20/301.56 = 115.52/x
  3. Step 3: Cross multiply
    201.20x = 301.56 × 115.52
  4. Step 4: Simplify right side
    201.20x = 34,836.21
  5. Step 5: Solve for x
    x = 34,836.21/201.20
  6. Step 6: Final answer
    x = 173.14

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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.