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Finding the Fourth Proportional to 227.64, 343.08 and 206

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Solution

The fourth proportional to 227.64, 343.08 and 206 is: 310.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.64 : 343.08 = 206 : x
  2. Step 2: Convert to fraction form
    227.64/343.08 = 206/x
  3. Step 3: Cross multiply
    227.64x = 343.08 × 206
  4. Step 4: Simplify right side
    227.64x = 70,674.48
  5. Step 5: Solve for x
    x = 70,674.48/227.64
  6. Step 6: Final answer
    x = 310.47

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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.