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Finding the Fourth Proportional to 251.46, 347.12 and 163.06

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Solution

The fourth proportional to 251.46, 347.12 and 163.06 is: 225.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.46 : 347.12 = 163.06 : x
  2. Step 2: Convert to fraction form
    251.46/347.12 = 163.06/x
  3. Step 3: Cross multiply
    251.46x = 347.12 × 163.06
  4. Step 4: Simplify right side
    251.46x = 56,601.39
  5. Step 5: Solve for x
    x = 56,601.39/251.46
  6. Step 6: Final answer
    x = 225.09

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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.