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Finding the Fourth Proportional to 270.91, 406.05 and 133.66

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Solution

The fourth proportional to 270.91, 406.05 and 133.66 is: 200.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.91 : 406.05 = 133.66 : x
  2. Step 2: Convert to fraction form
    270.91/406.05 = 133.66/x
  3. Step 3: Cross multiply
    270.91x = 406.05 × 133.66
  4. Step 4: Simplify right side
    270.91x = 54,272.64
  5. Step 5: Solve for x
    x = 54,272.64/270.91
  6. Step 6: Final answer
    x = 200.34

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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.