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Finding the Fourth Proportional to 299.90, 413.82 and 195.08

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Solution

The fourth proportional to 299.90, 413.82 and 195.08 is: 269.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.90 : 413.82 = 195.08 : x
  2. Step 2: Convert to fraction form
    299.90/413.82 = 195.08/x
  3. Step 3: Cross multiply
    299.90x = 413.82 × 195.08
  4. Step 4: Simplify right side
    299.90x = 80,728.01
  5. Step 5: Solve for x
    x = 80,728.01/299.90
  6. Step 6: Final answer
    x = 269.18

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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.