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Finding the Fourth Proportional to 342.24, 472.31 and 194.88

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Solution

The fourth proportional to 342.24, 472.31 and 194.88 is: 268.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.24 : 472.31 = 194.88 : x
  2. Step 2: Convert to fraction form
    342.24/472.31 = 194.88/x
  3. Step 3: Cross multiply
    342.24x = 472.31 × 194.88
  4. Step 4: Simplify right side
    342.24x = 92,042.80
  5. Step 5: Solve for x
    x = 92,042.80/342.24
  6. Step 6: Final answer
    x = 268.94

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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.