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Finding the Fourth Proportional to 299.46, 413.34 and 212.16

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Solution

The fourth proportional to 299.46, 413.34 and 212.16 is: 292.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.46 : 413.34 = 212.16 : x
  2. Step 2: Convert to fraction form
    299.46/413.34 = 212.16/x
  3. Step 3: Cross multiply
    299.46x = 413.34 × 212.16
  4. Step 4: Simplify right side
    299.46x = 87,694.21
  5. Step 5: Solve for x
    x = 87,694.21/299.46
  6. Step 6: Final answer
    x = 292.84

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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.