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Finding the Fourth Proportional to 299.20, 413.12 and 226.32

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Solution

The fourth proportional to 299.20, 413.12 and 226.32 is: 312.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.20 : 413.12 = 226.32 : x
  2. Step 2: Convert to fraction form
    299.20/413.12 = 226.32/x
  3. Step 3: Cross multiply
    299.20x = 413.12 × 226.32
  4. Step 4: Simplify right side
    299.20x = 93,497.32
  5. Step 5: Solve for x
    x = 93,497.32/299.20
  6. Step 6: Final answer
    x = 312.49

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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.