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Finding the Fourth Proportional to 361.18, 541.82 and 178.59

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Solution

The fourth proportional to 361.18, 541.82 and 178.59 is: 267.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.18 : 541.82 = 178.59 : x
  2. Step 2: Convert to fraction form
    361.18/541.82 = 178.59/x
  3. Step 3: Cross multiply
    361.18x = 541.82 × 178.59
  4. Step 4: Simplify right side
    361.18x = 96,763.63
  5. Step 5: Solve for x
    x = 96,763.63/361.18
  6. Step 6: Final answer
    x = 267.91

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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.