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Finding the Fourth Proportional to 238.31, 357.36 and 92.09

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Solution

The fourth proportional to 238.31, 357.36 and 92.09 is: 138.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.31 : 357.36 = 92.09 : x
  2. Step 2: Convert to fraction form
    238.31/357.36 = 92.09/x
  3. Step 3: Cross multiply
    238.31x = 357.36 × 92.09
  4. Step 4: Simplify right side
    238.31x = 32,909.28
  5. Step 5: Solve for x
    x = 32,909.28/238.31
  6. Step 6: Final answer
    x = 138.09

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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.