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Finding the Fourth Proportional to 229.81, 343.28 and 208.12

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Solution

The fourth proportional to 229.81, 343.28 and 208.12 is: 310.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.81 : 343.28 = 208.12 : x
  2. Step 2: Convert to fraction form
    229.81/343.28 = 208.12/x
  3. Step 3: Cross multiply
    229.81x = 343.28 × 208.12
  4. Step 4: Simplify right side
    229.81x = 71,443.43
  5. Step 5: Solve for x
    x = 71,443.43/229.81
  6. Step 6: Final answer
    x = 310.88

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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.