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Finding the Fourth Proportional to 249.66, 343.44 and 239.67

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Solution

The fourth proportional to 249.66, 343.44 and 239.67 is: 329.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.66 : 343.44 = 239.67 : x
  2. Step 2: Convert to fraction form
    249.66/343.44 = 239.67/x
  3. Step 3: Cross multiply
    249.66x = 343.44 × 239.67
  4. Step 4: Simplify right side
    249.66x = 82,312.26
  5. Step 5: Solve for x
    x = 82,312.26/249.66
  6. Step 6: Final answer
    x = 329.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.