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Finding the Fourth Proportional to 270.85, 406.27 and 75.86

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Solution

The fourth proportional to 270.85, 406.27 and 75.86 is: 113.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.85 : 406.27 = 75.86 : x
  2. Step 2: Convert to fraction form
    270.85/406.27 = 75.86/x
  3. Step 3: Cross multiply
    270.85x = 406.27 × 75.86
  4. Step 4: Simplify right side
    270.85x = 30,818.94
  5. Step 5: Solve for x
    x = 30,818.94/270.85
  6. Step 6: Final answer
    x = 113.79

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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.