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Finding the Fourth Proportional to 454.69, 682.14 and 166.13

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Solution

The fourth proportional to 454.69, 682.14 and 166.13 is: 249.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.69 : 682.14 = 166.13 : x
  2. Step 2: Convert to fraction form
    454.69/682.14 = 166.13/x
  3. Step 3: Cross multiply
    454.69x = 682.14 × 166.13
  4. Step 4: Simplify right side
    454.69x = 113,323.92
  5. Step 5: Solve for x
    x = 113,323.92/454.69
  6. Step 6: Final answer
    x = 249.23

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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.