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Finding the Fourth Proportional to 201.32, 301.68 and 180.62

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Solution

The fourth proportional to 201.32, 301.68 and 180.62 is: 270.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.32 : 301.68 = 180.62 : x
  2. Step 2: Convert to fraction form
    201.32/301.68 = 180.62/x
  3. Step 3: Cross multiply
    201.32x = 301.68 × 180.62
  4. Step 4: Simplify right side
    201.32x = 54,489.44
  5. Step 5: Solve for x
    x = 54,489.44/201.32
  6. Step 6: Final answer
    x = 270.66

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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.