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Finding the Fourth Proportional to 299.56, 413.36 and 166.77

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Solution

The fourth proportional to 299.56, 413.36 and 166.77 is: 230.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.56 : 413.36 = 166.77 : x
  2. Step 2: Convert to fraction form
    299.56/413.36 = 166.77/x
  3. Step 3: Cross multiply
    299.56x = 413.36 × 166.77
  4. Step 4: Simplify right side
    299.56x = 68,934.19
  5. Step 5: Solve for x
    x = 68,934.19/299.56
  6. Step 6: Final answer
    x = 230.12

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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.