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Finding the Fourth Proportional to 270.37, 405.96 and 189.73

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Solution

The fourth proportional to 270.37, 405.96 and 189.73 is: 284.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.37 : 405.96 = 189.73 : x
  2. Step 2: Convert to fraction form
    270.37/405.96 = 189.73/x
  3. Step 3: Cross multiply
    270.37x = 405.96 × 189.73
  4. Step 4: Simplify right side
    270.37x = 77,022.79
  5. Step 5: Solve for x
    x = 77,022.79/270.37
  6. Step 6: Final answer
    x = 284.88

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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.