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Finding the Fourth Proportional to 361.56, 541.89 and 238.09

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Solution

The fourth proportional to 361.56, 541.89 and 238.09 is: 356.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.56 : 541.89 = 238.09 : x
  2. Step 2: Convert to fraction form
    361.56/541.89 = 238.09/x
  3. Step 3: Cross multiply
    361.56x = 541.89 × 238.09
  4. Step 4: Simplify right side
    361.56x = 129,018.25
  5. Step 5: Solve for x
    x = 129,018.25/361.56
  6. Step 6: Final answer
    x = 356.83

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Why These Related Problems?

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