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Finding the Fourth Proportional to 299.82, 413.64 and 168.78

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Solution

The fourth proportional to 299.82, 413.64 and 168.78 is: 232.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.82 : 413.64 = 168.78 : x
  2. Step 2: Convert to fraction form
    299.82/413.64 = 168.78/x
  3. Step 3: Cross multiply
    299.82x = 413.64 × 168.78
  4. Step 4: Simplify right side
    299.82x = 69,814.16
  5. Step 5: Solve for x
    x = 69,814.16/299.82
  6. Step 6: Final answer
    x = 232.85

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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.