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Finding the Fourth Proportional to 226.10, 338.64 and 128.37

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Solution

The fourth proportional to 226.10, 338.64 and 128.37 is: 192.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.10 : 338.64 = 128.37 : x
  2. Step 2: Convert to fraction form
    226.10/338.64 = 128.37/x
  3. Step 3: Cross multiply
    226.10x = 338.64 × 128.37
  4. Step 4: Simplify right side
    226.10x = 43,471.22
  5. Step 5: Solve for x
    x = 43,471.22/226.10
  6. Step 6: Final answer
    x = 192.27

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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.