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Finding the Fourth Proportional to 492.82, 739.23 and 163.77

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Solution

The fourth proportional to 492.82, 739.23 and 163.77 is: 245.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.82 : 739.23 = 163.77 : x
  2. Step 2: Convert to fraction form
    492.82/739.23 = 163.77/x
  3. Step 3: Cross multiply
    492.82x = 739.23 × 163.77
  4. Step 4: Simplify right side
    492.82x = 121,063.70
  5. Step 5: Solve for x
    x = 121,063.70/492.82
  6. Step 6: Final answer
    x = 245.66

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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.