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Finding the Fourth Proportional to 273.51, 408.31 and 227.95

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Solution

The fourth proportional to 273.51, 408.31 and 227.95 is: 340.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    273.51 : 408.31 = 227.95 : x
  2. Step 2: Convert to fraction form
    273.51/408.31 = 227.95/x
  3. Step 3: Cross multiply
    273.51x = 408.31 × 227.95
  4. Step 4: Simplify right side
    273.51x = 93,072.67
  5. Step 5: Solve for x
    x = 93,072.67/273.51
  6. Step 6: Final answer
    x = 340.29

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.