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Finding the Fourth Proportional to 227.76, 314.19 and 195.09

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Solution

The fourth proportional to 227.76, 314.19 and 195.09 is: 269.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.76 : 314.19 = 195.09 : x
  2. Step 2: Convert to fraction form
    227.76/314.19 = 195.09/x
  3. Step 3: Cross multiply
    227.76x = 314.19 × 195.09
  4. Step 4: Simplify right side
    227.76x = 61,295.33
  5. Step 5: Solve for x
    x = 61,295.33/227.76
  6. Step 6: Final answer
    x = 269.12

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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.