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Finding the Fourth Proportional to 227, 313.44 and 164.96

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Solution

The fourth proportional to 227, 313.44 and 164.96 is: 227.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    227 : 313.44 = 164.96 : x
  2. Step 2: Convert to fraction form
    227/313.44 = 164.96/x
  3. Step 3: Cross multiply
    227x = 313.44 × 164.96
  4. Step 4: Simplify right side
    227x = 51,705.06
  5. Step 5: Solve for x
    x = 51,705.06/227
  6. Step 6: Final answer
    x = 227.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.