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Finding the Fourth Proportional to 238.55, 357.83 and 82.37

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Solution

The fourth proportional to 238.55, 357.83 and 82.37 is: 123.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.55 : 357.83 = 82.37 : x
  2. Step 2: Convert to fraction form
    238.55/357.83 = 82.37/x
  3. Step 3: Cross multiply
    238.55x = 357.83 × 82.37
  4. Step 4: Simplify right side
    238.55x = 29,472.26
  5. Step 5: Solve for x
    x = 29,472.26/238.55
  6. Step 6: Final answer
    x = 123.55

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