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Finding the Fourth Proportional to 342.39, 472.56 and 195.09

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Solution

The fourth proportional to 342.39, 472.56 and 195.09 is: 269.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.39 : 472.56 = 195.09 : x
  2. Step 2: Convert to fraction form
    342.39/472.56 = 195.09/x
  3. Step 3: Cross multiply
    342.39x = 472.56 × 195.09
  4. Step 4: Simplify right side
    342.39x = 92,191.73
  5. Step 5: Solve for x
    x = 92,191.73/342.39
  6. Step 6: Final answer
    x = 269.26

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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.