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Finding the Fourth Proportional to 275.41, 413.09 and 92.80

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Solution

The fourth proportional to 275.41, 413.09 and 92.80 is: 139.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.41 : 413.09 = 92.80 : x
  2. Step 2: Convert to fraction form
    275.41/413.09 = 92.80/x
  3. Step 3: Cross multiply
    275.41x = 413.09 × 92.80
  4. Step 4: Simplify right side
    275.41x = 38,332.22
  5. Step 5: Solve for x
    x = 38,332.22/275.41
  6. Step 6: Final answer
    x = 139.18

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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.