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Finding the Fourth Proportional to 399.20, 550.88 and 222.15

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Solution

The fourth proportional to 399.20, 550.88 and 222.15 is: 306.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.20 : 550.88 = 222.15 : x
  2. Step 2: Convert to fraction form
    399.20/550.88 = 222.15/x
  3. Step 3: Cross multiply
    399.20x = 550.88 × 222.15
  4. Step 4: Simplify right side
    399.20x = 122,379.78
  5. Step 5: Solve for x
    x = 122,379.78/399.20
  6. Step 6: Final answer
    x = 306.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.