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Finding the Fourth Proportional to 165.37, 226.73 and 162.44

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Solution

The fourth proportional to 165.37, 226.73 and 162.44 is: 222.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.37 : 226.73 = 162.44 : x
  2. Step 2: Convert to fraction form
    165.37/226.73 = 162.44/x
  3. Step 3: Cross multiply
    165.37x = 226.73 × 162.44
  4. Step 4: Simplify right side
    165.37x = 36,830.02
  5. Step 5: Solve for x
    x = 36,830.02/165.37
  6. Step 6: Final answer
    x = 222.71

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.