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Finding the Fourth Proportional to 270.97, 406.28 and 106.46

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Solution

The fourth proportional to 270.97, 406.28 and 106.46 is: 159.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.97 : 406.28 = 106.46 : x
  2. Step 2: Convert to fraction form
    270.97/406.28 = 106.46/x
  3. Step 3: Cross multiply
    270.97x = 406.28 × 106.46
  4. Step 4: Simplify right side
    270.97x = 43,251.90
  5. Step 5: Solve for x
    x = 43,251.90/270.97
  6. Step 6: Final answer
    x = 159.62

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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.