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Finding the Fourth Proportional to 238.57, 357.65 and 94.26

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Solution

The fourth proportional to 238.57, 357.65 and 94.26 is: 141.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.57 : 357.65 = 94.26 : x
  2. Step 2: Convert to fraction form
    238.57/357.65 = 94.26/x
  3. Step 3: Cross multiply
    238.57x = 357.65 × 94.26
  4. Step 4: Simplify right side
    238.57x = 33,712.09
  5. Step 5: Solve for x
    x = 33,712.09/238.57
  6. Step 6: Final answer
    x = 141.31

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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.