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Finding the Fourth Proportional to 338.50, 467.12 and 214.12

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Solution

The fourth proportional to 338.50, 467.12 and 214.12 is: 295.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.50 : 467.12 = 214.12 : x
  2. Step 2: Convert to fraction form
    338.50/467.12 = 214.12/x
  3. Step 3: Cross multiply
    338.50x = 467.12 × 214.12
  4. Step 4: Simplify right side
    338.50x = 100,016.33
  5. Step 5: Solve for x
    x = 100,016.33/338.50
  6. Step 6: Final answer
    x = 295.47

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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.