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Finding the Fourth Proportional to 270.93, 406.71 and 126.96

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Solution

The fourth proportional to 270.93, 406.71 and 126.96 is: 190.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.93 : 406.71 = 126.96 : x
  2. Step 2: Convert to fraction form
    270.93/406.71 = 126.96/x
  3. Step 3: Cross multiply
    270.93x = 406.71 × 126.96
  4. Step 4: Simplify right side
    270.93x = 51,635.90
  5. Step 5: Solve for x
    x = 51,635.90/270.93
  6. Step 6: Final answer
    x = 190.59

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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.