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Finding the Fourth Proportional to 299.66, 413.54 and 166.88

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Solution

The fourth proportional to 299.66, 413.54 and 166.88 is: 230.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.66 : 413.54 = 166.88 : x
  2. Step 2: Convert to fraction form
    299.66/413.54 = 166.88/x
  3. Step 3: Cross multiply
    299.66x = 413.54 × 166.88
  4. Step 4: Simplify right side
    299.66x = 69,011.56
  5. Step 5: Solve for x
    x = 69,011.56/299.66
  6. Step 6: Final answer
    x = 230.30

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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.