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Finding the Fourth Proportional to 227.65, 341.27 and 83.27

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Solution

The fourth proportional to 227.65, 341.27 and 83.27 is: 124.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.65 : 341.27 = 83.27 : x
  2. Step 2: Convert to fraction form
    227.65/341.27 = 83.27/x
  3. Step 3: Cross multiply
    227.65x = 341.27 × 83.27
  4. Step 4: Simplify right side
    227.65x = 28,417.55
  5. Step 5: Solve for x
    x = 28,417.55/227.65
  6. Step 6: Final answer
    x = 124.83

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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.