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Finding the Fourth Proportional to 300.93, 451.44 and 179.03

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Solution

The fourth proportional to 300.93, 451.44 and 179.03 is: 268.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.93 : 451.44 = 179.03 : x
  2. Step 2: Convert to fraction form
    300.93/451.44 = 179.03/x
  3. Step 3: Cross multiply
    300.93x = 451.44 × 179.03
  4. Step 4: Simplify right side
    300.93x = 80,819.05
  5. Step 5: Solve for x
    x = 80,819.05/300.93
  6. Step 6: Final answer
    x = 268.56

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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.