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Finding the Fourth Proportional to 299.84, 413.71 and 173.79

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Solution

The fourth proportional to 299.84, 413.71 and 173.79 is: 239.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.84 : 413.71 = 173.79 : x
  2. Step 2: Convert to fraction form
    299.84/413.71 = 173.79/x
  3. Step 3: Cross multiply
    299.84x = 413.71 × 173.79
  4. Step 4: Simplify right side
    299.84x = 71,898.23
  5. Step 5: Solve for x
    x = 71,898.23/299.84
  6. Step 6: Final answer
    x = 239.79

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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.