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Finding the Fourth Proportional to 454.94, 682.41 and 166.38

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Solution

The fourth proportional to 454.94, 682.41 and 166.38 is: 249.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.94 : 682.41 = 166.38 : x
  2. Step 2: Convert to fraction form
    454.94/682.41 = 166.38/x
  3. Step 3: Cross multiply
    454.94x = 682.41 × 166.38
  4. Step 4: Simplify right side
    454.94x = 113,539.38
  5. Step 5: Solve for x
    x = 113,539.38/454.94
  6. Step 6: Final answer
    x = 249.57

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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.