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Finding the Fourth Proportional to 226.28, 310.65 and 204.32

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Solution

The fourth proportional to 226.28, 310.65 and 204.32 is: 280.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    226.28 : 310.65 = 204.32 : x
  2. Step 2: Convert to fraction form
    226.28/310.65 = 204.32/x
  3. Step 3: Cross multiply
    226.28x = 310.65 × 204.32
  4. Step 4: Simplify right side
    226.28x = 63,472.01
  5. Step 5: Solve for x
    x = 63,472.01/226.28
  6. Step 6: Final answer
    x = 280.50

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.