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Finding the Fourth Proportional to 855.14, 1,282.71 and 205.88

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Solution

The fourth proportional to 855.14, 1,282.71 and 205.88 is: 308.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    855.14 : 1,282.71 = 205.88 : x
  2. Step 2: Convert to fraction form
    855.14/1,282.71 = 205.88/x
  3. Step 3: Cross multiply
    855.14x = 1,282.71 × 205.88
  4. Step 4: Simplify right side
    855.14x = 264,078.11
  5. Step 5: Solve for x
    x = 264,078.11/855.14
  6. Step 6: Final answer
    x = 308.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.