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Finding the Fourth Proportional to 227.82, 342.03 and 182.37

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Solution

The fourth proportional to 227.82, 342.03 and 182.37 is: 273.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.82 : 342.03 = 182.37 : x
  2. Step 2: Convert to fraction form
    227.82/342.03 = 182.37/x
  3. Step 3: Cross multiply
    227.82x = 342.03 × 182.37
  4. Step 4: Simplify right side
    227.82x = 62,376.01
  5. Step 5: Solve for x
    x = 62,376.01/227.82
  6. Step 6: Final answer
    x = 273.80

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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.