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Finding the Fourth Proportional to 227.61, 340.61 and 216.27

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Solution

The fourth proportional to 227.61, 340.61 and 216.27 is: 323.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.61 : 340.61 = 216.27 : x
  2. Step 2: Convert to fraction form
    227.61/340.61 = 216.27/x
  3. Step 3: Cross multiply
    227.61x = 340.61 × 216.27
  4. Step 4: Simplify right side
    227.61x = 73,662.64
  5. Step 5: Solve for x
    x = 73,662.64/227.61
  6. Step 6: Final answer
    x = 323.64

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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.