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Finding the Fourth Proportional to 299.75, 413.64 and 168.75

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Solution

The fourth proportional to 299.75, 413.64 and 168.75 is: 232.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.75 : 413.64 = 168.75 : x
  2. Step 2: Convert to fraction form
    299.75/413.64 = 168.75/x
  3. Step 3: Cross multiply
    299.75x = 413.64 × 168.75
  4. Step 4: Simplify right side
    299.75x = 69,801.75
  5. Step 5: Solve for x
    x = 69,801.75/299.75
  6. Step 6: Final answer
    x = 232.87

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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.