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Finding the Fourth Proportional to 239.22, 329.96 and 164.49

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Solution

The fourth proportional to 239.22, 329.96 and 164.49 is: 226.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    239.22 : 329.96 = 164.49 : x
  2. Step 2: Convert to fraction form
    239.22/329.96 = 164.49/x
  3. Step 3: Cross multiply
    239.22x = 329.96 × 164.49
  4. Step 4: Simplify right side
    239.22x = 54,276.36
  5. Step 5: Solve for x
    x = 54,276.36/239.22
  6. Step 6: Final answer
    x = 226.89

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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.