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Finding the Fourth Proportional to 252.44, 378.30 and 197.66

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Solution

The fourth proportional to 252.44, 378.30 and 197.66 is: 296.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.44 : 378.30 = 197.66 : x
  2. Step 2: Convert to fraction form
    252.44/378.30 = 197.66/x
  3. Step 3: Cross multiply
    252.44x = 378.30 × 197.66
  4. Step 4: Simplify right side
    252.44x = 74,772.89
  5. Step 5: Solve for x
    x = 74,772.89/252.44
  6. Step 6: Final answer
    x = 296.21

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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.