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Finding the Fourth Proportional to 453.98, 680.98 and 180.20

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Solution

The fourth proportional to 453.98, 680.98 and 180.20 is: 270.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.98 : 680.98 = 180.20 : x
  2. Step 2: Convert to fraction form
    453.98/680.98 = 180.20/x
  3. Step 3: Cross multiply
    453.98x = 680.98 × 180.20
  4. Step 4: Simplify right side
    453.98x = 122,712.60
  5. Step 5: Solve for x
    x = 122,712.60/453.98
  6. Step 6: Final answer
    x = 270.30

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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.