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Finding the Fourth Proportional to 299.44, 413.52 and 196

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Solution

The fourth proportional to 299.44, 413.52 and 196 is: 270.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.44 : 413.52 = 196 : x
  2. Step 2: Convert to fraction form
    299.44/413.52 = 196/x
  3. Step 3: Cross multiply
    299.44x = 413.52 × 196
  4. Step 4: Simplify right side
    299.44x = 81,049.92
  5. Step 5: Solve for x
    x = 81,049.92/299.44
  6. Step 6: Final answer
    x = 270.67

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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.