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Finding the Fourth Proportional to 227.14, 339.90 and 190.69

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Solution

The fourth proportional to 227.14, 339.90 and 190.69 is: 285.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.14 : 339.90 = 190.69 : x
  2. Step 2: Convert to fraction form
    227.14/339.90 = 190.69/x
  3. Step 3: Cross multiply
    227.14x = 339.90 × 190.69
  4. Step 4: Simplify right side
    227.14x = 64,813.97
  5. Step 5: Solve for x
    x = 64,813.97/227.14
  6. Step 6: Final answer
    x = 285.35

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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.