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Finding the Fourth Proportional to 299.50, 413.17 and 212.22

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Solution

The fourth proportional to 299.50, 413.17 and 212.22 is: 292.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.50 : 413.17 = 212.22 : x
  2. Step 2: Convert to fraction form
    299.50/413.17 = 212.22/x
  3. Step 3: Cross multiply
    299.50x = 413.17 × 212.22
  4. Step 4: Simplify right side
    299.50x = 87,682.94
  5. Step 5: Solve for x
    x = 87,682.94/299.50
  6. Step 6: Final answer
    x = 292.76

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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.