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Finding the Fourth Proportional to 400.12, 600.22 and 183.84

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Solution

The fourth proportional to 400.12, 600.22 and 183.84 is: 275.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.12 : 600.22 = 183.84 : x
  2. Step 2: Convert to fraction form
    400.12/600.22 = 183.84/x
  3. Step 3: Cross multiply
    400.12x = 600.22 × 183.84
  4. Step 4: Simplify right side
    400.12x = 110,344.44
  5. Step 5: Solve for x
    x = 110,344.44/400.12
  6. Step 6: Final answer
    x = 275.78

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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.