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Finding the Fourth Proportional to 227.18, 340.89 and 83

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Solution

The fourth proportional to 227.18, 340.89 and 83 is: 124.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.18 : 340.89 = 83 : x
  2. Step 2: Convert to fraction form
    227.18/340.89 = 83/x
  3. Step 3: Cross multiply
    227.18x = 340.89 × 83
  4. Step 4: Simplify right side
    227.18x = 28,293.87
  5. Step 5: Solve for x
    x = 28,293.87/227.18
  6. Step 6: Final answer
    x = 124.54

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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.