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Finding the Fourth Proportional to 275.71, 413.09 and 194.17

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Solution

The fourth proportional to 275.71, 413.09 and 194.17 is: 290.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.71 : 413.09 = 194.17 : x
  2. Step 2: Convert to fraction form
    275.71/413.09 = 194.17/x
  3. Step 3: Cross multiply
    275.71x = 413.09 × 194.17
  4. Step 4: Simplify right side
    275.71x = 80,209.69
  5. Step 5: Solve for x
    x = 80,209.69/275.71
  6. Step 6: Final answer
    x = 290.92

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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.