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Finding the Fourth Proportional to 337.09, 505.89 and 163.73

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Solution

The fourth proportional to 337.09, 505.89 and 163.73 is: 245.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.09 : 505.89 = 163.73 : x
  2. Step 2: Convert to fraction form
    337.09/505.89 = 163.73/x
  3. Step 3: Cross multiply
    337.09x = 505.89 × 163.73
  4. Step 4: Simplify right side
    337.09x = 82,829.37
  5. Step 5: Solve for x
    x = 82,829.37/337.09
  6. Step 6: Final answer
    x = 245.72

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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.