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Finding the Fourth Proportional to 275.68, 413.28 and 190.24

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Solution

The fourth proportional to 275.68, 413.28 and 190.24 is: 285.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.68 : 413.28 = 190.24 : x
  2. Step 2: Convert to fraction form
    275.68/413.28 = 190.24/x
  3. Step 3: Cross multiply
    275.68x = 413.28 × 190.24
  4. Step 4: Simplify right side
    275.68x = 78,622.39
  5. Step 5: Solve for x
    x = 78,622.39/275.68
  6. Step 6: Final answer
    x = 285.19

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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.