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Finding the Fourth Proportional to 227.14, 313.32 and 165.12

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Solution

The fourth proportional to 227.14, 313.32 and 165.12 is: 227.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.14 : 313.32 = 165.12 : x
  2. Step 2: Convert to fraction form
    227.14/313.32 = 165.12/x
  3. Step 3: Cross multiply
    227.14x = 313.32 × 165.12
  4. Step 4: Simplify right side
    227.14x = 51,735.40
  5. Step 5: Solve for x
    x = 51,735.40/227.14
  6. Step 6: Final answer
    x = 227.77

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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.