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Finding the Fourth Proportional to 225.36, 338.09 and 114.23

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Solution

The fourth proportional to 225.36, 338.09 and 114.23 is: 171.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    225.36 : 338.09 = 114.23 : x
  2. Step 2: Convert to fraction form
    225.36/338.09 = 114.23/x
  3. Step 3: Cross multiply
    225.36x = 338.09 × 114.23
  4. Step 4: Simplify right side
    225.36x = 38,620.29
  5. Step 5: Solve for x
    x = 38,620.29/225.36
  6. Step 6: Final answer
    x = 171.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.