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Finding the Fourth Proportional to 243.27, 364.97 and 223.27

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Solution

The fourth proportional to 243.27, 364.97 and 223.27 is: 334.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.27 : 364.97 = 223.27 : x
  2. Step 2: Convert to fraction form
    243.27/364.97 = 223.27/x
  3. Step 3: Cross multiply
    243.27x = 364.97 × 223.27
  4. Step 4: Simplify right side
    243.27x = 81,485.74
  5. Step 5: Solve for x
    x = 81,485.74/243.27
  6. Step 6: Final answer
    x = 334.96

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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.