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Finding the Fourth Proportional to 238.06, 356.96 and 83.92

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Solution

The fourth proportional to 238.06, 356.96 and 83.92 is: 125.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.06 : 356.96 = 83.92 : x
  2. Step 2: Convert to fraction form
    238.06/356.96 = 83.92/x
  3. Step 3: Cross multiply
    238.06x = 356.96 × 83.92
  4. Step 4: Simplify right side
    238.06x = 29,956.08
  5. Step 5: Solve for x
    x = 29,956.08/238.06
  6. Step 6: Final answer
    x = 125.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.