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Finding the Fourth Proportional to 453.24, 680.27 and 179.87

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Solution

The fourth proportional to 453.24, 680.27 and 179.87 is: 269.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.24 : 680.27 = 179.87 : x
  2. Step 2: Convert to fraction form
    453.24/680.27 = 179.87/x
  3. Step 3: Cross multiply
    453.24x = 680.27 × 179.87
  4. Step 4: Simplify right side
    453.24x = 122,355.86
  5. Step 5: Solve for x
    x = 122,355.86/453.24
  6. Step 6: Final answer
    x = 269.96

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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.