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Finding the Fourth Proportional to 165.30, 227.06 and 164.49

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Solution

The fourth proportional to 165.30, 227.06 and 164.49 is: 225.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.30 : 227.06 = 164.49 : x
  2. Step 2: Convert to fraction form
    165.30/227.06 = 164.49/x
  3. Step 3: Cross multiply
    165.30x = 227.06 × 164.49
  4. Step 4: Simplify right side
    165.30x = 37,348.28
  5. Step 5: Solve for x
    x = 37,348.28/165.30
  6. Step 6: Final answer
    x = 225.94

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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.