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Finding the Fourth Proportional to 275.68, 413.76 and 179.56

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Solution

The fourth proportional to 275.68, 413.76 and 179.56 is: 269.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.68 : 413.76 = 179.56 : x
  2. Step 2: Convert to fraction form
    275.68/413.76 = 179.56/x
  3. Step 3: Cross multiply
    275.68x = 413.76 × 179.56
  4. Step 4: Simplify right side
    275.68x = 74,294.75
  5. Step 5: Solve for x
    x = 74,294.75/275.68
  6. Step 6: Final answer
    x = 269.50

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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.