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Finding the Fourth Proportional to 342.14, 472.11 and 194.77

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Solution

The fourth proportional to 342.14, 472.11 and 194.77 is: 268.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.14 : 472.11 = 194.77 : x
  2. Step 2: Convert to fraction form
    342.14/472.11 = 194.77/x
  3. Step 3: Cross multiply
    342.14x = 472.11 × 194.77
  4. Step 4: Simplify right side
    342.14x = 91,952.86
  5. Step 5: Solve for x
    x = 91,952.86/342.14
  6. Step 6: Final answer
    x = 268.76

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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.