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Finding the Fourth Proportional to 361.22, 541.92 and 141.86

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Solution

The fourth proportional to 361.22, 541.92 and 141.86 is: 212.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.22 : 541.92 = 141.86 : x
  2. Step 2: Convert to fraction form
    361.22/541.92 = 141.86/x
  3. Step 3: Cross multiply
    361.22x = 541.92 × 141.86
  4. Step 4: Simplify right side
    361.22x = 76,876.77
  5. Step 5: Solve for x
    x = 76,876.77/361.22
  6. Step 6: Final answer
    x = 212.83

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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.