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Finding the Fourth Proportional to 227.42, 342.79 and 207.94

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Solution

The fourth proportional to 227.42, 342.79 and 207.94 is: 313.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.42 : 342.79 = 207.94 : x
  2. Step 2: Convert to fraction form
    227.42/342.79 = 207.94/x
  3. Step 3: Cross multiply
    227.42x = 342.79 × 207.94
  4. Step 4: Simplify right side
    227.42x = 71,278.38
  5. Step 5: Solve for x
    x = 71,278.38/227.42
  6. Step 6: Final answer
    x = 313.43

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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.