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Finding the Fourth Proportional to 226.92, 342.06 and 204.60

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Solution

The fourth proportional to 226.92, 342.06 and 204.60 is: 308.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.92 : 342.06 = 204.60 : x
  2. Step 2: Convert to fraction form
    226.92/342.06 = 204.60/x
  3. Step 3: Cross multiply
    226.92x = 342.06 × 204.60
  4. Step 4: Simplify right side
    226.92x = 69,985.48
  5. Step 5: Solve for x
    x = 69,985.48/226.92
  6. Step 6: Final answer
    x = 308.41

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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.