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Finding the Fourth Proportional to 229.32, 341.91 and 226.92

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Solution

The fourth proportional to 229.32, 341.91 and 226.92 is: 338.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.32 : 341.91 = 226.92 : x
  2. Step 2: Convert to fraction form
    229.32/341.91 = 226.92/x
  3. Step 3: Cross multiply
    229.32x = 341.91 × 226.92
  4. Step 4: Simplify right side
    229.32x = 77,586.22
  5. Step 5: Solve for x
    x = 77,586.22/229.32
  6. Step 6: Final answer
    x = 338.33

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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.