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Finding the Fourth Proportional to 249.44, 343.91 and 205.02

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Solution

The fourth proportional to 249.44, 343.91 and 205.02 is: 282.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    249.44 : 343.91 = 205.02 : x
  2. Step 2: Convert to fraction form
    249.44/343.91 = 205.02/x
  3. Step 3: Cross multiply
    249.44x = 343.91 × 205.02
  4. Step 4: Simplify right side
    249.44x = 70,507.40
  5. Step 5: Solve for x
    x = 70,507.40/249.44
  6. Step 6: Final answer
    x = 282.67

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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.