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Finding the Fourth Proportional to 252.45, 378.18 and 198.09

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Solution

The fourth proportional to 252.45, 378.18 and 198.09 is: 296.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.45 : 378.18 = 198.09 : x
  2. Step 2: Convert to fraction form
    252.45/378.18 = 198.09/x
  3. Step 3: Cross multiply
    252.45x = 378.18 × 198.09
  4. Step 4: Simplify right side
    252.45x = 74,913.68
  5. Step 5: Solve for x
    x = 74,913.68/252.45
  6. Step 6: Final answer
    x = 296.75

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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.