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Finding the Fourth Proportional to 270.79, 406.22 and 149.14

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Solution

The fourth proportional to 270.79, 406.22 and 149.14 is: 223.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.79 : 406.22 = 149.14 : x
  2. Step 2: Convert to fraction form
    270.79/406.22 = 149.14/x
  3. Step 3: Cross multiply
    270.79x = 406.22 × 149.14
  4. Step 4: Simplify right side
    270.79x = 60,583.41
  5. Step 5: Solve for x
    x = 60,583.41/270.79
  6. Step 6: Final answer
    x = 223.73

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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.