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Finding the Fourth Proportional to 270.38, 404.96 and 193.43

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Solution

The fourth proportional to 270.38, 404.96 and 193.43 is: 289.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.38 : 404.96 = 193.43 : x
  2. Step 2: Convert to fraction form
    270.38/404.96 = 193.43/x
  3. Step 3: Cross multiply
    270.38x = 404.96 × 193.43
  4. Step 4: Simplify right side
    270.38x = 78,332.91
  5. Step 5: Solve for x
    x = 78,332.91/270.38
  6. Step 6: Final answer
    x = 289.71

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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.