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Finding the Fourth Proportional to 224.92, 310.20 and 165

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Solution

The fourth proportional to 224.92, 310.20 and 165 is: 227.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.92 : 310.20 = 165 : x
  2. Step 2: Convert to fraction form
    224.92/310.20 = 165/x
  3. Step 3: Cross multiply
    224.92x = 310.20 × 165
  4. Step 4: Simplify right side
    224.92x = 51,183
  5. Step 5: Solve for x
    x = 51,183/224.92
  6. Step 6: Final answer
    x = 227.56

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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.