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Finding the Fourth Proportional to 243.72, 364.70 and 227.43

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Solution

The fourth proportional to 243.72, 364.70 and 227.43 is: 340.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.72 : 364.70 = 227.43 : x
  2. Step 2: Convert to fraction form
    243.72/364.70 = 227.43/x
  3. Step 3: Cross multiply
    243.72x = 364.70 × 227.43
  4. Step 4: Simplify right side
    243.72x = 82,942.61
  5. Step 5: Solve for x
    x = 82,942.61/243.72
  6. Step 6: Final answer
    x = 340.32

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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.