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Finding the Fourth Proportional to 270.91, 406.14 and 116.83

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Solution

The fourth proportional to 270.91, 406.14 and 116.83 is: 175.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.91 : 406.14 = 116.83 : x
  2. Step 2: Convert to fraction form
    270.91/406.14 = 116.83/x
  3. Step 3: Cross multiply
    270.91x = 406.14 × 116.83
  4. Step 4: Simplify right side
    270.91x = 47,449.34
  5. Step 5: Solve for x
    x = 47,449.34/270.91
  6. Step 6: Final answer
    x = 175.15

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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.