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Finding the Fourth Proportional to 239.09, 329.92 and 164.47

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Solution

The fourth proportional to 239.09, 329.92 and 164.47 is: 226.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    239.09 : 329.92 = 164.47 : x
  2. Step 2: Convert to fraction form
    239.09/329.92 = 164.47/x
  3. Step 3: Cross multiply
    239.09x = 329.92 × 164.47
  4. Step 4: Simplify right side
    239.09x = 54,259.47
  5. Step 5: Solve for x
    x = 54,259.47/239.09
  6. Step 6: Final answer
    x = 226.95

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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.