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Finding the Fourth Proportional to 238.72, 356.33 and 219.46

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Solution

The fourth proportional to 238.72, 356.33 and 219.46 is: 327.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.72 : 356.33 = 219.46 : x
  2. Step 2: Convert to fraction form
    238.72/356.33 = 219.46/x
  3. Step 3: Cross multiply
    238.72x = 356.33 × 219.46
  4. Step 4: Simplify right side
    238.72x = 78,200.18
  5. Step 5: Solve for x
    x = 78,200.18/238.72
  6. Step 6: Final answer
    x = 327.58

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.