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Finding the Fourth Proportional to 227.68, 343.19 and 207.17

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Solution

The fourth proportional to 227.68, 343.19 and 207.17 is: 312.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.68 : 343.19 = 207.17 : x
  2. Step 2: Convert to fraction form
    227.68/343.19 = 207.17/x
  3. Step 3: Cross multiply
    227.68x = 343.19 × 207.17
  4. Step 4: Simplify right side
    227.68x = 71,099.53
  5. Step 5: Solve for x
    x = 71,099.53/227.68
  6. Step 6: Final answer
    x = 312.28

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.