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Finding the Fourth Proportional to 338.21, 466.53 and 213.83

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Solution

The fourth proportional to 338.21, 466.53 and 213.83 is: 294.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.21 : 466.53 = 213.83 : x
  2. Step 2: Convert to fraction form
    338.21/466.53 = 213.83/x
  3. Step 3: Cross multiply
    338.21x = 466.53 × 213.83
  4. Step 4: Simplify right side
    338.21x = 99,755.78
  5. Step 5: Solve for x
    x = 99,755.78/338.21
  6. Step 6: Final answer
    x = 294.95

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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.