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Finding the Fourth Proportional to 299.83, 413.80 and 167.10

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Solution

The fourth proportional to 299.83, 413.80 and 167.10 is: 230.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.83 : 413.80 = 167.10 : x
  2. Step 2: Convert to fraction form
    299.83/413.80 = 167.10/x
  3. Step 3: Cross multiply
    299.83x = 413.80 × 167.10
  4. Step 4: Simplify right side
    299.83x = 69,145.98
  5. Step 5: Solve for x
    x = 69,145.98/299.83
  6. Step 6: Final answer
    x = 230.62

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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.