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Finding the Fourth Proportional to 451.86, 677.85 and 163.27

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Solution

The fourth proportional to 451.86, 677.85 and 163.27 is: 244.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.86 : 677.85 = 163.27 : x
  2. Step 2: Convert to fraction form
    451.86/677.85 = 163.27/x
  3. Step 3: Cross multiply
    451.86x = 677.85 × 163.27
  4. Step 4: Simplify right side
    451.86x = 110,672.57
  5. Step 5: Solve for x
    x = 110,672.57/451.86
  6. Step 6: Final answer
    x = 244.93

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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.