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Finding the Fourth Proportional to 342.09, 472.16 and 194.81

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Solution

The fourth proportional to 342.09, 472.16 and 194.81 is: 268.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.09 : 472.16 = 194.81 : x
  2. Step 2: Convert to fraction form
    342.09/472.16 = 194.81/x
  3. Step 3: Cross multiply
    342.09x = 472.16 × 194.81
  4. Step 4: Simplify right side
    342.09x = 91,979.62
  5. Step 5: Solve for x
    x = 91,979.62/342.09
  6. Step 6: Final answer
    x = 268.88

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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.