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Finding the Fourth Proportional to 361.10, 541.65 and 223.73

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Solution

The fourth proportional to 361.10, 541.65 and 223.73 is: 335.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.10 : 541.65 = 223.73 : x
  2. Step 2: Convert to fraction form
    361.10/541.65 = 223.73/x
  3. Step 3: Cross multiply
    361.10x = 541.65 × 223.73
  4. Step 4: Simplify right side
    361.10x = 121,183.35
  5. Step 5: Solve for x
    x = 121,183.35/361.10
  6. Step 6: Final answer
    x = 335.60

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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.