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Finding the Fourth Proportional to 165.38, 226.56 and 159.22

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Solution

The fourth proportional to 165.38, 226.56 and 159.22 is: 218.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.38 : 226.56 = 159.22 : x
  2. Step 2: Convert to fraction form
    165.38/226.56 = 159.22/x
  3. Step 3: Cross multiply
    165.38x = 226.56 × 159.22
  4. Step 4: Simplify right side
    165.38x = 36,072.88
  5. Step 5: Solve for x
    x = 36,072.88/165.38
  6. Step 6: Final answer
    x = 218.12

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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.