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Finding the Fourth Proportional to 361.16, 541.73 and 178.55

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Solution

The fourth proportional to 361.16, 541.73 and 178.55 is: 267.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.16 : 541.73 = 178.55 : x
  2. Step 2: Convert to fraction form
    361.16/541.73 = 178.55/x
  3. Step 3: Cross multiply
    361.16x = 541.73 × 178.55
  4. Step 4: Simplify right side
    361.16x = 96,727.69
  5. Step 5: Solve for x
    x = 96,727.69/361.16
  6. Step 6: Final answer
    x = 267.83

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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.