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Finding the Fourth Proportional to 252.45, 378.14 and 204.39

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Solution

The fourth proportional to 252.45, 378.14 and 204.39 is: 306.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.45 : 378.14 = 204.39 : x
  2. Step 2: Convert to fraction form
    252.45/378.14 = 204.39/x
  3. Step 3: Cross multiply
    252.45x = 378.14 × 204.39
  4. Step 4: Simplify right side
    252.45x = 77,287.01
  5. Step 5: Solve for x
    x = 77,287.01/252.45
  6. Step 6: Final answer
    x = 306.15

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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.