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Finding the Fourth Proportional to 247.03, 340.94 and 205.52

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Solution

The fourth proportional to 247.03, 340.94 and 205.52 is: 283.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    247.03 : 340.94 = 205.52 : x
  2. Step 2: Convert to fraction form
    247.03/340.94 = 205.52/x
  3. Step 3: Cross multiply
    247.03x = 340.94 × 205.52
  4. Step 4: Simplify right side
    247.03x = 70,067.26
  5. Step 5: Solve for x
    x = 70,067.26/247.03
  6. Step 6: Final answer
    x = 283.64

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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.