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Finding the Fourth Proportional to 300.44, 451.47 and 178.76

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Solution

The fourth proportional to 300.44, 451.47 and 178.76 is: 268.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.44 : 451.47 = 178.76 : x
  2. Step 2: Convert to fraction form
    300.44/451.47 = 178.76/x
  3. Step 3: Cross multiply
    300.44x = 451.47 × 178.76
  4. Step 4: Simplify right side
    300.44x = 80,704.78
  5. Step 5: Solve for x
    x = 80,704.78/300.44
  6. Step 6: Final answer
    x = 268.62

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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.