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Finding the Fourth Proportional to 454.90, 682.40 and 166.27

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Solution

The fourth proportional to 454.90, 682.40 and 166.27 is: 249.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.90 : 682.40 = 166.27 : x
  2. Step 2: Convert to fraction form
    454.90/682.40 = 166.27/x
  3. Step 3: Cross multiply
    454.90x = 682.40 × 166.27
  4. Step 4: Simplify right side
    454.90x = 113,462.65
  5. Step 5: Solve for x
    x = 113,462.65/454.90
  6. Step 6: Final answer
    x = 249.42

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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.