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Finding the Fourth Proportional to 274.15, 410.91 and 137.29

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Solution

The fourth proportional to 274.15, 410.91 and 137.29 is: 205.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.15 : 410.91 = 137.29 : x
  2. Step 2: Convert to fraction form
    274.15/410.91 = 137.29/x
  3. Step 3: Cross multiply
    274.15x = 410.91 × 137.29
  4. Step 4: Simplify right side
    274.15x = 56,413.83
  5. Step 5: Solve for x
    x = 56,413.83/274.15
  6. Step 6: Final answer
    x = 205.78

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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.