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Finding the Fourth Proportional to 342.34, 472.42 and 192.97

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Solution

The fourth proportional to 342.34, 472.42 and 192.97 is: 266.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.34 : 472.42 = 192.97 : x
  2. Step 2: Convert to fraction form
    342.34/472.42 = 192.97/x
  3. Step 3: Cross multiply
    342.34x = 472.42 × 192.97
  4. Step 4: Simplify right side
    342.34x = 91,162.85
  5. Step 5: Solve for x
    x = 91,162.85/342.34
  6. Step 6: Final answer
    x = 266.29

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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.