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Finding the Fourth Proportional to 361.19, 541.96 and 178.54

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Solution

The fourth proportional to 361.19, 541.96 and 178.54 is: 267.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.19 : 541.96 = 178.54 : x
  2. Step 2: Convert to fraction form
    361.19/541.96 = 178.54/x
  3. Step 3: Cross multiply
    361.19x = 541.96 × 178.54
  4. Step 4: Simplify right side
    361.19x = 96,762.79
  5. Step 5: Solve for x
    x = 96,762.79/361.19
  6. Step 6: Final answer
    x = 267.90

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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.