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Finding the Fourth Proportional to 252.20, 380.04 and 209.80

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Solution

The fourth proportional to 252.20, 380.04 and 209.80 is: 316.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.20 : 380.04 = 209.80 : x
  2. Step 2: Convert to fraction form
    252.20/380.04 = 209.80/x
  3. Step 3: Cross multiply
    252.20x = 380.04 × 209.80
  4. Step 4: Simplify right side
    252.20x = 79,732.39
  5. Step 5: Solve for x
    x = 79,732.39/252.20
  6. Step 6: Final answer
    x = 316.15

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.