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Finding the Fourth Proportional to 238.36, 357.34 and 227.02

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Solution

The fourth proportional to 238.36, 357.34 and 227.02 is: 340.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.36 : 357.34 = 227.02 : x
  2. Step 2: Convert to fraction form
    238.36/357.34 = 227.02/x
  3. Step 3: Cross multiply
    238.36x = 357.34 × 227.02
  4. Step 4: Simplify right side
    238.36x = 81,122.19
  5. Step 5: Solve for x
    x = 81,122.19/238.36
  6. Step 6: Final answer
    x = 340.33

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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.