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Finding the Fourth Proportional to 361.63, 541.90 and 178.80

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Solution

The fourth proportional to 361.63, 541.90 and 178.80 is: 267.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.63 : 541.90 = 178.80 : x
  2. Step 2: Convert to fraction form
    361.63/541.90 = 178.80/x
  3. Step 3: Cross multiply
    361.63x = 541.90 × 178.80
  4. Step 4: Simplify right side
    361.63x = 96,891.72
  5. Step 5: Solve for x
    x = 96,891.72/361.63
  6. Step 6: Final answer
    x = 267.93

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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.