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Finding the Fourth Proportional to 201.44, 301.86 and 181.04

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Solution

The fourth proportional to 201.44, 301.86 and 181.04 is: 271.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.44 : 301.86 = 181.04 : x
  2. Step 2: Convert to fraction form
    201.44/301.86 = 181.04/x
  3. Step 3: Cross multiply
    201.44x = 301.86 × 181.04
  4. Step 4: Simplify right side
    201.44x = 54,648.73
  5. Step 5: Solve for x
    x = 54,648.73/201.44
  6. Step 6: Final answer
    x = 271.29

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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.