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Finding the Fourth Proportional to 227.44, 313.77 and 165.12

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Solution

The fourth proportional to 227.44, 313.77 and 165.12 is: 227.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.44 : 313.77 = 165.12 : x
  2. Step 2: Convert to fraction form
    227.44/313.77 = 165.12/x
  3. Step 3: Cross multiply
    227.44x = 313.77 × 165.12
  4. Step 4: Simplify right side
    227.44x = 51,809.70
  5. Step 5: Solve for x
    x = 51,809.70/227.44
  6. Step 6: Final answer
    x = 227.80

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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.