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Finding the Fourth Proportional to 454.86, 682.50 and 166.50

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Solution

The fourth proportional to 454.86, 682.50 and 166.50 is: 249.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.86 : 682.50 = 166.50 : x
  2. Step 2: Convert to fraction form
    454.86/682.50 = 166.50/x
  3. Step 3: Cross multiply
    454.86x = 682.50 × 166.50
  4. Step 4: Simplify right side
    454.86x = 113,636.25
  5. Step 5: Solve for x
    x = 113,636.25/454.86
  6. Step 6: Final answer
    x = 249.83

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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.