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Finding the Fourth Proportional to 226.85, 341.42 and 204.48

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Solution

The fourth proportional to 226.85, 341.42 and 204.48 is: 307.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.85 : 341.42 = 204.48 : x
  2. Step 2: Convert to fraction form
    226.85/341.42 = 204.48/x
  3. Step 3: Cross multiply
    226.85x = 341.42 × 204.48
  4. Step 4: Simplify right side
    226.85x = 69,812.54
  5. Step 5: Solve for x
    x = 69,812.54/226.85
  6. Step 6: Final answer
    x = 307.75

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