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Finding the Fourth Proportional to 300.28, 449.51 and 178.18

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Solution

The fourth proportional to 300.28, 449.51 and 178.18 is: 266.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.28 : 449.51 = 178.18 : x
  2. Step 2: Convert to fraction form
    300.28/449.51 = 178.18/x
  3. Step 3: Cross multiply
    300.28x = 449.51 × 178.18
  4. Step 4: Simplify right side
    300.28x = 80,093.69
  5. Step 5: Solve for x
    x = 80,093.69/300.28
  6. Step 6: Final answer
    x = 266.73

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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.