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Finding the Fourth Proportional to 454.92, 682.35 and 180.96

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Solution

The fourth proportional to 454.92, 682.35 and 180.96 is: 271.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.92 : 682.35 = 180.96 : x
  2. Step 2: Convert to fraction form
    454.92/682.35 = 180.96/x
  3. Step 3: Cross multiply
    454.92x = 682.35 × 180.96
  4. Step 4: Simplify right side
    454.92x = 123,478.06
  5. Step 5: Solve for x
    x = 123,478.06/454.92
  6. Step 6: Final answer
    x = 271.43

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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.