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Finding the Fourth Proportional to 225.63, 311.42 and 163.75

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Solution

The fourth proportional to 225.63, 311.42 and 163.75 is: 226.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.63 : 311.42 = 163.75 : x
  2. Step 2: Convert to fraction form
    225.63/311.42 = 163.75/x
  3. Step 3: Cross multiply
    225.63x = 311.42 × 163.75
  4. Step 4: Simplify right side
    225.63x = 50,995.03
  5. Step 5: Solve for x
    x = 50,995.03/225.63
  6. Step 6: Final answer
    x = 226.01

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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.