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Finding the Fourth Proportional to 338.91, 467.66 and 191.57

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Solution

The fourth proportional to 338.91, 467.66 and 191.57 is: 264.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.91 : 467.66 = 191.57 : x
  2. Step 2: Convert to fraction form
    338.91/467.66 = 191.57/x
  3. Step 3: Cross multiply
    338.91x = 467.66 × 191.57
  4. Step 4: Simplify right side
    338.91x = 89,586.33
  5. Step 5: Solve for x
    x = 89,586.33/338.91
  6. Step 6: Final answer
    x = 264.34

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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.