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Finding the Fourth Proportional to 252.96, 349.06 and 149.44

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Solution

The fourth proportional to 252.96, 349.06 and 149.44 is: 206.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.96 : 349.06 = 149.44 : x
  2. Step 2: Convert to fraction form
    252.96/349.06 = 149.44/x
  3. Step 3: Cross multiply
    252.96x = 349.06 × 149.44
  4. Step 4: Simplify right side
    252.96x = 52,163.53
  5. Step 5: Solve for x
    x = 52,163.53/252.96
  6. Step 6: Final answer
    x = 206.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.