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Finding the Fourth Proportional to 252.87, 378.90 and 180.38

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Solution

The fourth proportional to 252.87, 378.90 and 180.38 is: 270.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.87 : 378.90 = 180.38 : x
  2. Step 2: Convert to fraction form
    252.87/378.90 = 180.38/x
  3. Step 3: Cross multiply
    252.87x = 378.90 × 180.38
  4. Step 4: Simplify right side
    252.87x = 68,344.09
  5. Step 5: Solve for x
    x = 68,344.09/252.87
  6. Step 6: Final answer
    x = 270.27

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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.