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Finding the Fourth Proportional to 270.86, 406.26 and 124.56

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Solution

The fourth proportional to 270.86, 406.26 and 124.56 is: 186.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.86 : 406.26 = 124.56 : x
  2. Step 2: Convert to fraction form
    270.86/406.26 = 124.56/x
  3. Step 3: Cross multiply
    270.86x = 406.26 × 124.56
  4. Step 4: Simplify right side
    270.86x = 50,603.75
  5. Step 5: Solve for x
    x = 50,603.75/270.86
  6. Step 6: Final answer
    x = 186.83

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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.