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Finding the Fourth Proportional to 238, 328.61 and 164.47

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Solution

The fourth proportional to 238, 328.61 and 164.47 is: 227.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    238 : 328.61 = 164.47 : x
  2. Step 2: Convert to fraction form
    238/328.61 = 164.47/x
  3. Step 3: Cross multiply
    238x = 328.61 × 164.47
  4. Step 4: Simplify right side
    238x = 54,046.49
  5. Step 5: Solve for x
    x = 54,046.49/238
  6. Step 6: Final answer
    x = 227.09

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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.