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Finding the Fourth Proportional to 275.81, 413.98 and 188.87

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Solution

The fourth proportional to 275.81, 413.98 and 188.87 is: 283.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.81 : 413.98 = 188.87 : x
  2. Step 2: Convert to fraction form
    275.81/413.98 = 188.87/x
  3. Step 3: Cross multiply
    275.81x = 413.98 × 188.87
  4. Step 4: Simplify right side
    275.81x = 78,185.86
  5. Step 5: Solve for x
    x = 78,185.86/275.81
  6. Step 6: Final answer
    x = 283.48

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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.