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Finding the Fourth Proportional to 227, 339.96 and 173

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Solution

The fourth proportional to 227, 339.96 and 173 is: 259.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    227 : 339.96 = 173 : x
  2. Step 2: Convert to fraction form
    227/339.96 = 173/x
  3. Step 3: Cross multiply
    227x = 339.96 × 173
  4. Step 4: Simplify right side
    227x = 58,813.08
  5. Step 5: Solve for x
    x = 58,813.08/227
  6. Step 6: Final answer
    x = 259.09

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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.