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Finding the Fourth Proportional to 361.61, 541.06 and 214.83

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Solution

The fourth proportional to 361.61, 541.06 and 214.83 is: 321.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.61 : 541.06 = 214.83 : x
  2. Step 2: Convert to fraction form
    361.61/541.06 = 214.83/x
  3. Step 3: Cross multiply
    361.61x = 541.06 × 214.83
  4. Step 4: Simplify right side
    361.61x = 116,233.21
  5. Step 5: Solve for x
    x = 116,233.21/361.61
  6. Step 6: Final answer
    x = 321.43

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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.