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Finding the Fourth Proportional to 252.24, 378.04 and 136.73

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Solution

The fourth proportional to 252.24, 378.04 and 136.73 is: 204.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.24 : 378.04 = 136.73 : x
  2. Step 2: Convert to fraction form
    252.24/378.04 = 136.73/x
  3. Step 3: Cross multiply
    252.24x = 378.04 × 136.73
  4. Step 4: Simplify right side
    252.24x = 51,689.41
  5. Step 5: Solve for x
    x = 51,689.41/252.24
  6. Step 6: Final answer
    x = 204.92

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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.