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Finding the Fourth Proportional to 270.86, 406.21 and 75.85

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Solution

The fourth proportional to 270.86, 406.21 and 75.85 is: 113.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.86 : 406.21 = 75.85 : x
  2. Step 2: Convert to fraction form
    270.86/406.21 = 75.85/x
  3. Step 3: Cross multiply
    270.86x = 406.21 × 75.85
  4. Step 4: Simplify right side
    270.86x = 30,809.90
  5. Step 5: Solve for x
    x = 30,809.90/270.86
  6. Step 6: Final answer
    x = 113.75

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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.