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Finding the Fourth Proportional to 299.95, 413.99 and 189.57

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Solution

The fourth proportional to 299.95, 413.99 and 189.57 is: 261.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.95 : 413.99 = 189.57 : x
  2. Step 2: Convert to fraction form
    299.95/413.99 = 189.57/x
  3. Step 3: Cross multiply
    299.95x = 413.99 × 189.57
  4. Step 4: Simplify right side
    299.95x = 78,480.56
  5. Step 5: Solve for x
    x = 78,480.56/299.95
  6. Step 6: Final answer
    x = 261.65

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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.