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Finding the Fourth Proportional to 453.97, 680.85 and 180.12

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Solution

The fourth proportional to 453.97, 680.85 and 180.12 is: 270.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.97 : 680.85 = 180.12 : x
  2. Step 2: Convert to fraction form
    453.97/680.85 = 180.12/x
  3. Step 3: Cross multiply
    453.97x = 680.85 × 180.12
  4. Step 4: Simplify right side
    453.97x = 122,634.70
  5. Step 5: Solve for x
    x = 122,634.70/453.97
  6. Step 6: Final answer
    x = 270.14

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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.