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Finding the Fourth Proportional to 275.78, 413.66 and 189.27

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Solution

The fourth proportional to 275.78, 413.66 and 189.27 is: 283.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.78 : 413.66 = 189.27 : x
  2. Step 2: Convert to fraction form
    275.78/413.66 = 189.27/x
  3. Step 3: Cross multiply
    275.78x = 413.66 × 189.27
  4. Step 4: Simplify right side
    275.78x = 78,293.90
  5. Step 5: Solve for x
    x = 78,293.90/275.78
  6. Step 6: Final answer
    x = 283.90

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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.