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Finding the Fourth Proportional to 270.98, 406.46 and 168.44

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Solution

The fourth proportional to 270.98, 406.46 and 168.44 is: 252.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.98 : 406.46 = 168.44 : x
  2. Step 2: Convert to fraction form
    270.98/406.46 = 168.44/x
  3. Step 3: Cross multiply
    270.98x = 406.46 × 168.44
  4. Step 4: Simplify right side
    270.98x = 68,464.12
  5. Step 5: Solve for x
    x = 68,464.12/270.98
  6. Step 6: Final answer
    x = 252.65

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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.