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Finding the Fourth Proportional to 338.12, 466.41 and 213.73

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Solution

The fourth proportional to 338.12, 466.41 and 213.73 is: 294.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.12 : 466.41 = 213.73 : x
  2. Step 2: Convert to fraction form
    338.12/466.41 = 213.73/x
  3. Step 3: Cross multiply
    338.12x = 466.41 × 213.73
  4. Step 4: Simplify right side
    338.12x = 99,684.64
  5. Step 5: Solve for x
    x = 99,684.64/338.12
  6. Step 6: Final answer
    x = 294.82

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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.