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Finding the Fourth Proportional to 413.23, 619.80 and 166.37

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Solution

The fourth proportional to 413.23, 619.80 and 166.37 is: 249.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.23 : 619.80 = 166.37 : x
  2. Step 2: Convert to fraction form
    413.23/619.80 = 166.37/x
  3. Step 3: Cross multiply
    413.23x = 619.80 × 166.37
  4. Step 4: Simplify right side
    413.23x = 103,116.13
  5. Step 5: Solve for x
    x = 103,116.13/413.23
  6. Step 6: Final answer
    x = 249.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.