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Finding the Fourth Proportional to 227.26, 313.71 and 192.47

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Solution

The fourth proportional to 227.26, 313.71 and 192.47 is: 265.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.26 : 313.71 = 192.47 : x
  2. Step 2: Convert to fraction form
    227.26/313.71 = 192.47/x
  3. Step 3: Cross multiply
    227.26x = 313.71 × 192.47
  4. Step 4: Simplify right side
    227.26x = 60,379.76
  5. Step 5: Solve for x
    x = 60,379.76/227.26
  6. Step 6: Final answer
    x = 265.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.