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Finding the Fourth Proportional to 227.36, 340.86 and 204.32

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Solution

The fourth proportional to 227.36, 340.86 and 204.32 is: 306.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.36 : 340.86 = 204.32 : x
  2. Step 2: Convert to fraction form
    227.36/340.86 = 204.32/x
  3. Step 3: Cross multiply
    227.36x = 340.86 × 204.32
  4. Step 4: Simplify right side
    227.36x = 69,644.52
  5. Step 5: Solve for x
    x = 69,644.52/227.36
  6. Step 6: Final answer
    x = 306.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.