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Finding the Fourth Proportional to 252.88, 380.00 and 137.41

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Solution

The fourth proportional to 252.88, 380.00 and 137.41 is: 206.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.88 : 380.00 = 137.41 : x
  2. Step 2: Convert to fraction form
    252.88/380.00 = 137.41/x
  3. Step 3: Cross multiply
    252.88x = 380.00 × 137.41
  4. Step 4: Simplify right side
    252.88x = 52,215.19
  5. Step 5: Solve for x
    x = 52,215.19/252.88
  6. Step 6: Final answer
    x = 206.48

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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.