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Finding the Fourth Proportional to 226.28, 338.64 and 157.40

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Solution

The fourth proportional to 226.28, 338.64 and 157.40 is: 235.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.28 : 338.64 = 157.40 : x
  2. Step 2: Convert to fraction form
    226.28/338.64 = 157.40/x
  3. Step 3: Cross multiply
    226.28x = 338.64 × 157.40
  4. Step 4: Simplify right side
    226.28x = 53,301.94
  5. Step 5: Solve for x
    x = 53,301.94/226.28
  6. Step 6: Final answer
    x = 235.56

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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.