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Finding the Fourth Proportional to 227.70, 315.69 and 223.24

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Solution

The fourth proportional to 227.70, 315.69 and 223.24 is: 309.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.70 : 315.69 = 223.24 : x
  2. Step 2: Convert to fraction form
    227.70/315.69 = 223.24/x
  3. Step 3: Cross multiply
    227.70x = 315.69 × 223.24
  4. Step 4: Simplify right side
    227.70x = 70,474.64
  5. Step 5: Solve for x
    x = 70,474.64/227.70
  6. Step 6: Final answer
    x = 309.51

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.