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Finding the Fourth Proportional to 226.78, 339.96 and 118.64

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Solution

The fourth proportional to 226.78, 339.96 and 118.64 is: 177.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.78 : 339.96 = 118.64 : x
  2. Step 2: Convert to fraction form
    226.78/339.96 = 118.64/x
  3. Step 3: Cross multiply
    226.78x = 339.96 × 118.64
  4. Step 4: Simplify right side
    226.78x = 40,332.85
  5. Step 5: Solve for x
    x = 40,332.85/226.78
  6. Step 6: Final answer
    x = 177.85

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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.