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Finding the Fourth Proportional to 299.47, 413.27 and 168.50

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Solution

The fourth proportional to 299.47, 413.27 and 168.50 is: 232.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.47 : 413.27 = 168.50 : x
  2. Step 2: Convert to fraction form
    299.47/413.27 = 168.50/x
  3. Step 3: Cross multiply
    299.47x = 413.27 × 168.50
  4. Step 4: Simplify right side
    299.47x = 69,635.15
  5. Step 5: Solve for x
    x = 69,635.15/299.47
  6. Step 6: Final answer
    x = 232.53

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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.