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Finding the Fourth Proportional to 342.29, 472.36 and 194.97

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Solution

The fourth proportional to 342.29, 472.36 and 194.97 is: 269.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.29 : 472.36 = 194.97 : x
  2. Step 2: Convert to fraction form
    342.29/472.36 = 194.97/x
  3. Step 3: Cross multiply
    342.29x = 472.36 × 194.97
  4. Step 4: Simplify right side
    342.29x = 92,096.03
  5. Step 5: Solve for x
    x = 92,096.03/342.29
  6. Step 6: Final answer
    x = 269.06

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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.