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Finding the Fourth Proportional to 270.59, 406.16 and 182.73

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Solution

The fourth proportional to 270.59, 406.16 and 182.73 is: 274.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.59 : 406.16 = 182.73 : x
  2. Step 2: Convert to fraction form
    270.59/406.16 = 182.73/x
  3. Step 3: Cross multiply
    270.59x = 406.16 × 182.73
  4. Step 4: Simplify right side
    270.59x = 74,217.62
  5. Step 5: Solve for x
    x = 74,217.62/270.59
  6. Step 6: Final answer
    x = 274.28

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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.