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Finding the Fourth Proportional to 270.27, 405 and 107.87

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Solution

The fourth proportional to 270.27, 405 and 107.87 is: 161.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.27 : 405 = 107.87 : x
  2. Step 2: Convert to fraction form
    270.27/405 = 107.87/x
  3. Step 3: Cross multiply
    270.27x = 405 × 107.87
  4. Step 4: Simplify right side
    270.27x = 43,685.33
  5. Step 5: Solve for x
    x = 43,685.33/270.27
  6. Step 6: Final answer
    x = 161.64

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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.