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Finding the Fourth Proportional to 275.44, 413.36 and 194.36

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Solution

The fourth proportional to 275.44, 413.36 and 194.36 is: 291.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.44 : 413.36 = 194.36 : x
  2. Step 2: Convert to fraction form
    275.44/413.36 = 194.36/x
  3. Step 3: Cross multiply
    275.44x = 413.36 × 194.36
  4. Step 4: Simplify right side
    275.44x = 80,340.65
  5. Step 5: Solve for x
    x = 80,340.65/275.44
  6. Step 6: Final answer
    x = 291.68

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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.