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Finding the Fourth Proportional to 338.27, 466.85 and 213.92

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Solution

The fourth proportional to 338.27, 466.85 and 213.92 is: 295.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.27 : 466.85 = 213.92 : x
  2. Step 2: Convert to fraction form
    338.27/466.85 = 213.92/x
  3. Step 3: Cross multiply
    338.27x = 466.85 × 213.92
  4. Step 4: Simplify right side
    338.27x = 99,867.48
  5. Step 5: Solve for x
    x = 99,867.48/338.27
  6. Step 6: Final answer
    x = 295.23

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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.