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Finding the Fourth Proportional to 299.68, 413.74 and 181.82

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Solution

The fourth proportional to 299.68, 413.74 and 181.82 is: 251.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.68 : 413.74 = 181.82 : x
  2. Step 2: Convert to fraction form
    299.68/413.74 = 181.82/x
  3. Step 3: Cross multiply
    299.68x = 413.74 × 181.82
  4. Step 4: Simplify right side
    299.68x = 75,226.21
  5. Step 5: Solve for x
    x = 75,226.21/299.68
  6. Step 6: Final answer
    x = 251.02

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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.