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Finding the Fourth Proportional to 227.46, 339.57 and 207.99

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Solution

The fourth proportional to 227.46, 339.57 and 207.99 is: 310.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.46 : 339.57 = 207.99 : x
  2. Step 2: Convert to fraction form
    227.46/339.57 = 207.99/x
  3. Step 3: Cross multiply
    227.46x = 339.57 × 207.99
  4. Step 4: Simplify right side
    227.46x = 70,627.16
  5. Step 5: Solve for x
    x = 70,627.16/227.46
  6. Step 6: Final answer
    x = 310.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.