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Finding the Fourth Proportional to 299.94, 413.84 and 189.54

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Solution

The fourth proportional to 299.94, 413.84 and 189.54 is: 261.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.94 : 413.84 = 189.54 : x
  2. Step 2: Convert to fraction form
    299.94/413.84 = 189.54/x
  3. Step 3: Cross multiply
    299.94x = 413.84 × 189.54
  4. Step 4: Simplify right side
    299.94x = 78,439.71
  5. Step 5: Solve for x
    x = 78,439.71/299.94
  6. Step 6: Final answer
    x = 261.52

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