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Finding the Fourth Proportional to 299.72, 413.67 and 168.77

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Solution

The fourth proportional to 299.72, 413.67 and 168.77 is: 232.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.72 : 413.67 = 168.77 : x
  2. Step 2: Convert to fraction form
    299.72/413.67 = 168.77/x
  3. Step 3: Cross multiply
    299.72x = 413.67 × 168.77
  4. Step 4: Simplify right side
    299.72x = 69,813.02
  5. Step 5: Solve for x
    x = 69,813.02/299.72
  6. Step 6: Final answer
    x = 232.93

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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.