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Finding the Fourth Proportional to 245.44, 338.56 and 208.56

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Solution

The fourth proportional to 245.44, 338.56 and 208.56 is: 287.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.44 : 338.56 = 208.56 : x
  2. Step 2: Convert to fraction form
    245.44/338.56 = 208.56/x
  3. Step 3: Cross multiply
    245.44x = 338.56 × 208.56
  4. Step 4: Simplify right side
    245.44x = 70,610.07
  5. Step 5: Solve for x
    x = 70,610.07/245.44
  6. Step 6: Final answer
    x = 287.69

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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.