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Finding the Fourth Proportional to 252.35, 348.39 and 163.91

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Solution

The fourth proportional to 252.35, 348.39 and 163.91 is: 226.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.35 : 348.39 = 163.91 : x
  2. Step 2: Convert to fraction form
    252.35/348.39 = 163.91/x
  3. Step 3: Cross multiply
    252.35x = 348.39 × 163.91
  4. Step 4: Simplify right side
    252.35x = 57,102.86
  5. Step 5: Solve for x
    x = 57,102.86/252.35
  6. Step 6: Final answer
    x = 226.29

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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.