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Finding the Fourth Proportional to 238.77, 329.33 and 165.11

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Solution

The fourth proportional to 238.77, 329.33 and 165.11 is: 227.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.77 : 329.33 = 165.11 : x
  2. Step 2: Convert to fraction form
    238.77/329.33 = 165.11/x
  3. Step 3: Cross multiply
    238.77x = 329.33 × 165.11
  4. Step 4: Simplify right side
    238.77x = 54,374.44
  5. Step 5: Solve for x
    x = 54,374.44/238.77
  6. Step 6: Final answer
    x = 227.73

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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.