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Finding the Fourth Proportional to 455.26, 682.96 and 181.34

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Solution

The fourth proportional to 455.26, 682.96 and 181.34 is: 272.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.26 : 682.96 = 181.34 : x
  2. Step 2: Convert to fraction form
    455.26/682.96 = 181.34/x
  3. Step 3: Cross multiply
    455.26x = 682.96 × 181.34
  4. Step 4: Simplify right side
    455.26x = 123,847.97
  5. Step 5: Solve for x
    x = 123,847.97/455.26
  6. Step 6: Final answer
    x = 272.04

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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.