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Finding the Fourth Proportional to 226.14, 338.85 and 118.14

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Solution

The fourth proportional to 226.14, 338.85 and 118.14 is: 177.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.14 : 338.85 = 118.14 : x
  2. Step 2: Convert to fraction form
    226.14/338.85 = 118.14/x
  3. Step 3: Cross multiply
    226.14x = 338.85 × 118.14
  4. Step 4: Simplify right side
    226.14x = 40,031.74
  5. Step 5: Solve for x
    x = 40,031.74/226.14
  6. Step 6: Final answer
    x = 177.02

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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.