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Finding the Fourth Proportional to 299.53, 413.29 and 181.48

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Solution

The fourth proportional to 299.53, 413.29 and 181.48 is: 250.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.53 : 413.29 = 181.48 : x
  2. Step 2: Convert to fraction form
    299.53/413.29 = 181.48/x
  3. Step 3: Cross multiply
    299.53x = 413.29 × 181.48
  4. Step 4: Simplify right side
    299.53x = 75,003.87
  5. Step 5: Solve for x
    x = 75,003.87/299.53
  6. Step 6: Final answer
    x = 250.41

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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.