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Finding the Fourth Proportional to 338.28, 506.25 and 208.23

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Solution

The fourth proportional to 338.28, 506.25 and 208.23 is: 311.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.28 : 506.25 = 208.23 : x
  2. Step 2: Convert to fraction form
    338.28/506.25 = 208.23/x
  3. Step 3: Cross multiply
    338.28x = 506.25 × 208.23
  4. Step 4: Simplify right side
    338.28x = 105,416.44
  5. Step 5: Solve for x
    x = 105,416.44/338.28
  6. Step 6: Final answer
    x = 311.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.