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Finding the Fourth Proportional to 275.43, 413.12 and 184.19

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Solution

The fourth proportional to 275.43, 413.12 and 184.19 is: 276.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.43 : 413.12 = 184.19 : x
  2. Step 2: Convert to fraction form
    275.43/413.12 = 184.19/x
  3. Step 3: Cross multiply
    275.43x = 413.12 × 184.19
  4. Step 4: Simplify right side
    275.43x = 76,089.59
  5. Step 5: Solve for x
    x = 76,089.59/275.43
  6. Step 6: Final answer
    x = 276.26

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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.