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Finding the Fourth Proportional to 342.71, 472.86 and 195.31

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Solution

The fourth proportional to 342.71, 472.86 and 195.31 is: 269.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.71 : 472.86 = 195.31 : x
  2. Step 2: Convert to fraction form
    342.71/472.86 = 195.31/x
  3. Step 3: Cross multiply
    342.71x = 472.86 × 195.31
  4. Step 4: Simplify right side
    342.71x = 92,355.43
  5. Step 5: Solve for x
    x = 92,355.43/342.71
  6. Step 6: Final answer
    x = 269.49

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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.