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Finding the Fourth Proportional to 299.86, 413.80 and 167.08

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Solution

The fourth proportional to 299.86, 413.80 and 167.08 is: 230.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.86 : 413.80 = 167.08 : x
  2. Step 2: Convert to fraction form
    299.86/413.80 = 167.08/x
  3. Step 3: Cross multiply
    299.86x = 413.80 × 167.08
  4. Step 4: Simplify right side
    299.86x = 69,136.87
  5. Step 5: Solve for x
    x = 69,136.87/299.86
  6. Step 6: Final answer
    x = 230.56

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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.