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Finding the Fourth Proportional to 453.82, 680.96 and 180.11

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Solution

The fourth proportional to 453.82, 680.96 and 180.11 is: 270.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.82 : 680.96 = 180.11 : x
  2. Step 2: Convert to fraction form
    453.82/680.96 = 180.11/x
  3. Step 3: Cross multiply
    453.82x = 680.96 × 180.11
  4. Step 4: Simplify right side
    453.82x = 122,647.26
  5. Step 5: Solve for x
    x = 122,647.26/453.82
  6. Step 6: Final answer
    x = 270.26

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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.