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Finding the Fourth Proportional to 454.90, 682.23 and 180.97

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Solution

The fourth proportional to 454.90, 682.23 and 180.97 is: 271.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.90 : 682.23 = 180.97 : x
  2. Step 2: Convert to fraction form
    454.90/682.23 = 180.97/x
  3. Step 3: Cross multiply
    454.90x = 682.23 × 180.97
  4. Step 4: Simplify right side
    454.90x = 123,463.16
  5. Step 5: Solve for x
    x = 123,463.16/454.90
  6. Step 6: Final answer
    x = 271.41

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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.