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Finding the Fourth Proportional to 299.64, 413.46 and 181.61

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Solution

The fourth proportional to 299.64, 413.46 and 181.61 is: 250.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.64 : 413.46 = 181.61 : x
  2. Step 2: Convert to fraction form
    299.64/413.46 = 181.61/x
  3. Step 3: Cross multiply
    299.64x = 413.46 × 181.61
  4. Step 4: Simplify right side
    299.64x = 75,086.40
  5. Step 5: Solve for x
    x = 75,086.40/299.64
  6. Step 6: Final answer
    x = 250.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.