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Finding the Fourth Proportional to 226.92, 338.85 and 183.63

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Solution

The fourth proportional to 226.92, 338.85 and 183.63 is: 274.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.92 : 338.85 = 183.63 : x
  2. Step 2: Convert to fraction form
    226.92/338.85 = 183.63/x
  3. Step 3: Cross multiply
    226.92x = 338.85 × 183.63
  4. Step 4: Simplify right side
    226.92x = 62,223.03
  5. Step 5: Solve for x
    x = 62,223.03/226.92
  6. Step 6: Final answer
    x = 274.21

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.