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Finding the Fourth Proportional to 361.22, 541.20 and 216.62

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Solution

The fourth proportional to 361.22, 541.20 and 216.62 is: 324.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.22 : 541.20 = 216.62 : x
  2. Step 2: Convert to fraction form
    361.22/541.20 = 216.62/x
  3. Step 3: Cross multiply
    361.22x = 541.20 × 216.62
  4. Step 4: Simplify right side
    361.22x = 117,234.74
  5. Step 5: Solve for x
    x = 117,234.74/361.22
  6. Step 6: Final answer
    x = 324.55

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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.