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Finding the Fourth Proportional to 299.68, 413.52 and 183.20

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Solution

The fourth proportional to 299.68, 413.52 and 183.20 is: 252.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.68 : 413.52 = 183.20 : x
  2. Step 2: Convert to fraction form
    299.68/413.52 = 183.20/x
  3. Step 3: Cross multiply
    299.68x = 413.52 × 183.20
  4. Step 4: Simplify right side
    299.68x = 75,756.86
  5. Step 5: Solve for x
    x = 75,756.86/299.68
  6. Step 6: Final answer
    x = 252.79

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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.