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Finding the Fourth Proportional to 262.28, 394.96 and 194.29

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Solution

The fourth proportional to 262.28, 394.96 and 194.29 is: 292.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.28 : 394.96 = 194.29 : x
  2. Step 2: Convert to fraction form
    262.28/394.96 = 194.29/x
  3. Step 3: Cross multiply
    262.28x = 394.96 × 194.29
  4. Step 4: Simplify right side
    262.28x = 76,733.83
  5. Step 5: Solve for x
    x = 76,733.83/262.28
  6. Step 6: Final answer
    x = 292.56

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.