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Finding the Fourth Proportional to 194.37, 268.26 and 163.23

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Solution

The fourth proportional to 194.37, 268.26 and 163.23 is: 225.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.37 : 268.26 = 163.23 : x
  2. Step 2: Convert to fraction form
    194.37/268.26 = 163.23/x
  3. Step 3: Cross multiply
    194.37x = 268.26 × 163.23
  4. Step 4: Simplify right side
    194.37x = 43,788.08
  5. Step 5: Solve for x
    x = 43,788.08/194.37
  6. Step 6: Final answer
    x = 225.28

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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.