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Finding the Fourth Proportional to 299.92, 413.80 and 183.36

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Solution

The fourth proportional to 299.92, 413.80 and 183.36 is: 252.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.92 : 413.80 = 183.36 : x
  2. Step 2: Convert to fraction form
    299.92/413.80 = 183.36/x
  3. Step 3: Cross multiply
    299.92x = 413.80 × 183.36
  4. Step 4: Simplify right side
    299.92x = 75,874.37
  5. Step 5: Solve for x
    x = 75,874.37/299.92
  6. Step 6: Final answer
    x = 252.98

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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.