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Finding the Fourth Proportional to 238.52, 329.02 and 164.71

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Solution

The fourth proportional to 238.52, 329.02 and 164.71 is: 227.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.52 : 329.02 = 164.71 : x
  2. Step 2: Convert to fraction form
    238.52/329.02 = 164.71/x
  3. Step 3: Cross multiply
    238.52x = 329.02 × 164.71
  4. Step 4: Simplify right side
    238.52x = 54,192.88
  5. Step 5: Solve for x
    x = 54,192.88/238.52
  6. Step 6: Final answer
    x = 227.20

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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.