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Finding the Fourth Proportional to 252.10, 378.21 and 180.10

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Solution

The fourth proportional to 252.10, 378.21 and 180.10 is: 270.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.10 : 378.21 = 180.10 : x
  2. Step 2: Convert to fraction form
    252.10/378.21 = 180.10/x
  3. Step 3: Cross multiply
    252.10x = 378.21 × 180.10
  4. Step 4: Simplify right side
    252.10x = 68,115.62
  5. Step 5: Solve for x
    x = 68,115.62/252.10
  6. Step 6: Final answer
    x = 270.19

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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.