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Finding the Fourth Proportional to 270.14, 405.22 and 161.69

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Solution

The fourth proportional to 270.14, 405.22 and 161.69 is: 242.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.14 : 405.22 = 161.69 : x
  2. Step 2: Convert to fraction form
    270.14/405.22 = 161.69/x
  3. Step 3: Cross multiply
    270.14x = 405.22 × 161.69
  4. Step 4: Simplify right side
    270.14x = 65,520.02
  5. Step 5: Solve for x
    x = 65,520.02/270.14
  6. Step 6: Final answer
    x = 242.54

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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.