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Finding the Fourth Proportional to 300.80, 451.06 and 179.12

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Solution

The fourth proportional to 300.80, 451.06 and 179.12 is: 268.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    300.80 : 451.06 = 179.12 : x
  2. Step 2: Convert to fraction form
    300.80/451.06 = 179.12/x
  3. Step 3: Cross multiply
    300.80x = 451.06 × 179.12
  4. Step 4: Simplify right side
    300.80x = 80,793.87
  5. Step 5: Solve for x
    x = 80,793.87/300.80
  6. Step 6: Final answer
    x = 268.60

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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.