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Finding the Fourth Proportional to 299.90, 413.80 and 181.85

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Solution

The fourth proportional to 299.90, 413.80 and 181.85 is: 250.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.90 : 413.80 = 181.85 : x
  2. Step 2: Convert to fraction form
    299.90/413.80 = 181.85/x
  3. Step 3: Cross multiply
    299.90x = 413.80 × 181.85
  4. Step 4: Simplify right side
    299.90x = 75,249.53
  5. Step 5: Solve for x
    x = 75,249.53/299.90
  6. Step 6: Final answer
    x = 250.92

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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.