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Finding the Fourth Proportional to 361.53, 541.42 and 178.67

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Solution

The fourth proportional to 361.53, 541.42 and 178.67 is: 267.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.53 : 541.42 = 178.67 : x
  2. Step 2: Convert to fraction form
    361.53/541.42 = 178.67/x
  3. Step 3: Cross multiply
    361.53x = 541.42 × 178.67
  4. Step 4: Simplify right side
    361.53x = 96,736.42
  5. Step 5: Solve for x
    x = 96,736.42/361.53
  6. Step 6: Final answer
    x = 267.58

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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.