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Finding the Fourth Proportional to 299.94, 413.93 and 181.89

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Solution

The fourth proportional to 299.94, 413.93 and 181.89 is: 251.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.94 : 413.93 = 181.89 : x
  2. Step 2: Convert to fraction form
    299.94/413.93 = 181.89/x
  3. Step 3: Cross multiply
    299.94x = 413.93 × 181.89
  4. Step 4: Simplify right side
    299.94x = 75,289.73
  5. Step 5: Solve for x
    x = 75,289.73/299.94
  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.