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Finding the Fourth Proportional to 226.97, 341.98 and 205.34

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Solution

The fourth proportional to 226.97, 341.98 and 205.34 is: 309.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.97 : 341.98 = 205.34 : x
  2. Step 2: Convert to fraction form
    226.97/341.98 = 205.34/x
  3. Step 3: Cross multiply
    226.97x = 341.98 × 205.34
  4. Step 4: Simplify right side
    226.97x = 70,219.95
  5. Step 5: Solve for x
    x = 70,219.95/226.97
  6. Step 6: Final answer
    x = 309.37

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.