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Finding the Fourth Proportional to 270.28, 405.22 and 107.84

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Solution

The fourth proportional to 270.28, 405.22 and 107.84 is: 161.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.28 : 405.22 = 107.84 : x
  2. Step 2: Convert to fraction form
    270.28/405.22 = 107.84/x
  3. Step 3: Cross multiply
    270.28x = 405.22 × 107.84
  4. Step 4: Simplify right side
    270.28x = 43,698.92
  5. Step 5: Solve for x
    x = 43,698.92/270.28
  6. Step 6: Final answer
    x = 161.68

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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.