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Finding the Fourth Proportional to 270.62, 406.01 and 116.47

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Solution

The fourth proportional to 270.62, 406.01 and 116.47 is: 174.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.62 : 406.01 = 116.47 : x
  2. Step 2: Convert to fraction form
    270.62/406.01 = 116.47/x
  3. Step 3: Cross multiply
    270.62x = 406.01 × 116.47
  4. Step 4: Simplify right side
    270.62x = 47,287.98
  5. Step 5: Solve for x
    x = 47,287.98/270.62
  6. Step 6: Final answer
    x = 174.74

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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.