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Finding the Fourth Proportional to 275.44, 413.08 and 179.76

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Solution

The fourth proportional to 275.44, 413.08 and 179.76 is: 269.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.44 : 413.08 = 179.76 : x
  2. Step 2: Convert to fraction form
    275.44/413.08 = 179.76/x
  3. Step 3: Cross multiply
    275.44x = 413.08 × 179.76
  4. Step 4: Simplify right side
    275.44x = 74,255.26
  5. Step 5: Solve for x
    x = 74,255.26/275.44
  6. Step 6: Final answer
    x = 269.59

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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.