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Finding the Fourth Proportional to 251.20, 346.49 and 163.99

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Solution

The fourth proportional to 251.20, 346.49 and 163.99 is: 226.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.20 : 346.49 = 163.99 : x
  2. Step 2: Convert to fraction form
    251.20/346.49 = 163.99/x
  3. Step 3: Cross multiply
    251.20x = 346.49 × 163.99
  4. Step 4: Simplify right side
    251.20x = 56,819.16
  5. Step 5: Solve for x
    x = 56,819.16/251.20
  6. Step 6: Final answer
    x = 226.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.