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Finding the Fourth Proportional to 270.27, 405 and 107.82

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Solution

The fourth proportional to 270.27, 405 and 107.82 is: 161.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.27 : 405 = 107.82 : x
  2. Step 2: Convert to fraction form
    270.27/405 = 107.82/x
  3. Step 3: Cross multiply
    270.27x = 405 × 107.82
  4. Step 4: Simplify right side
    270.27x = 43,667.10
  5. Step 5: Solve for x
    x = 43,667.10/270.27
  6. Step 6: Final answer
    x = 161.57

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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.