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Finding the Fourth Proportional to 238.66, 356.30 and 211.54

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Solution

The fourth proportional to 238.66, 356.30 and 211.54 is: 315.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.66 : 356.30 = 211.54 : x
  2. Step 2: Convert to fraction form
    238.66/356.30 = 211.54/x
  3. Step 3: Cross multiply
    238.66x = 356.30 × 211.54
  4. Step 4: Simplify right side
    238.66x = 75,371.70
  5. Step 5: Solve for x
    x = 75,371.70/238.66
  6. Step 6: Final answer
    x = 315.81

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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.