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Finding the Fourth Proportional to 275.66, 413.27 and 188.78

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Solution

The fourth proportional to 275.66, 413.27 and 188.78 is: 283.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.66 : 413.27 = 188.78 : x
  2. Step 2: Convert to fraction form
    275.66/413.27 = 188.78/x
  3. Step 3: Cross multiply
    275.66x = 413.27 × 188.78
  4. Step 4: Simplify right side
    275.66x = 78,015.65
  5. Step 5: Solve for x
    x = 78,015.65/275.66
  6. Step 6: Final answer
    x = 283.02

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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.