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Finding the Fourth Proportional to 280.44, 386.99 and 206.80

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Solution

The fourth proportional to 280.44, 386.99 and 206.80 is: 285.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.44 : 386.99 = 206.80 : x
  2. Step 2: Convert to fraction form
    280.44/386.99 = 206.80/x
  3. Step 3: Cross multiply
    280.44x = 386.99 × 206.80
  4. Step 4: Simplify right side
    280.44x = 80,028.50
  5. Step 5: Solve for x
    x = 80,028.50/280.44
  6. Step 6: Final answer
    x = 285.37

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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.