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Finding the Fourth Proportional to 270.20, 405.83 and 167.68

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Solution

The fourth proportional to 270.20, 405.83 and 167.68 is: 251.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.20 : 405.83 = 167.68 : x
  2. Step 2: Convert to fraction form
    270.20/405.83 = 167.68/x
  3. Step 3: Cross multiply
    270.20x = 405.83 × 167.68
  4. Step 4: Simplify right side
    270.20x = 68,049.57
  5. Step 5: Solve for x
    x = 68,049.57/270.20
  6. Step 6: Final answer
    x = 251.85

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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.