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Finding the Fourth Proportional to 238.12, 355.43 and 226.24

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Solution

The fourth proportional to 238.12, 355.43 and 226.24 is: 337.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.12 : 355.43 = 226.24 : x
  2. Step 2: Convert to fraction form
    238.12/355.43 = 226.24/x
  3. Step 3: Cross multiply
    238.12x = 355.43 × 226.24
  4. Step 4: Simplify right side
    238.12x = 80,412.48
  5. Step 5: Solve for x
    x = 80,412.48/238.12
  6. Step 6: Final answer
    x = 337.70

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.