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Finding the Fourth Proportional to 207.59, 311.09 and 161.73

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Solution

The fourth proportional to 207.59, 311.09 and 161.73 is: 242.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.59 : 311.09 = 161.73 : x
  2. Step 2: Convert to fraction form
    207.59/311.09 = 161.73/x
  3. Step 3: Cross multiply
    207.59x = 311.09 × 161.73
  4. Step 4: Simplify right side
    207.59x = 50,311.78
  5. Step 5: Solve for x
    x = 50,311.78/207.59
  6. Step 6: Final answer
    x = 242.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.