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Finding the Fourth Proportional to 299.32, 413.00 and 166.53

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Solution

The fourth proportional to 299.32, 413.00 and 166.53 is: 229.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.32 : 413.00 = 166.53 : x
  2. Step 2: Convert to fraction form
    299.32/413.00 = 166.53/x
  3. Step 3: Cross multiply
    299.32x = 413.00 × 166.53
  4. Step 4: Simplify right side
    299.32x = 68,777.31
  5. Step 5: Solve for x
    x = 68,777.31/299.32
  6. Step 6: Final answer
    x = 229.78

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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.