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Finding the Fourth Proportional to 299.84, 413.75 and 168.84

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Solution

The fourth proportional to 299.84, 413.75 and 168.84 is: 232.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.84 : 413.75 = 168.84 : x
  2. Step 2: Convert to fraction form
    299.84/413.75 = 168.84/x
  3. Step 3: Cross multiply
    299.84x = 413.75 × 168.84
  4. Step 4: Simplify right side
    299.84x = 69,857.97
  5. Step 5: Solve for x
    x = 69,857.97/299.84
  6. Step 6: Final answer
    x = 232.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.