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Finding the Fourth Proportional to 299.60, 413.16 and 196.08

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Solution

The fourth proportional to 299.60, 413.16 and 196.08 is: 270.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.60 : 413.16 = 196.08 : x
  2. Step 2: Convert to fraction form
    299.60/413.16 = 196.08/x
  3. Step 3: Cross multiply
    299.60x = 413.16 × 196.08
  4. Step 4: Simplify right side
    299.60x = 81,012.41
  5. Step 5: Solve for x
    x = 81,012.41/299.60
  6. Step 6: Final answer
    x = 270.40

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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.