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Finding the Fourth Proportional to 300.42, 450.67 and 178.54

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Solution

The fourth proportional to 300.42, 450.67 and 178.54 is: 267.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.42 : 450.67 = 178.54 : x
  2. Step 2: Convert to fraction form
    300.42/450.67 = 178.54/x
  3. Step 3: Cross multiply
    300.42x = 450.67 × 178.54
  4. Step 4: Simplify right side
    300.42x = 80,462.62
  5. Step 5: Solve for x
    x = 80,462.62/300.42
  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.