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Finding the Fourth Proportional to 299.74, 413.72 and 212.44

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Solution

The fourth proportional to 299.74, 413.72 and 212.44 is: 293.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.74 : 413.72 = 212.44 : x
  2. Step 2: Convert to fraction form
    299.74/413.72 = 212.44/x
  3. Step 3: Cross multiply
    299.74x = 413.72 × 212.44
  4. Step 4: Simplify right side
    299.74x = 87,890.68
  5. Step 5: Solve for x
    x = 87,890.68/299.74
  6. Step 6: Final answer
    x = 293.22

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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.