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Finding the Fourth Proportional to 280.12, 386.16 and 206.44

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Solution

The fourth proportional to 280.12, 386.16 and 206.44 is: 284.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.12 : 386.16 = 206.44 : x
  2. Step 2: Convert to fraction form
    280.12/386.16 = 206.44/x
  3. Step 3: Cross multiply
    280.12x = 386.16 × 206.44
  4. Step 4: Simplify right side
    280.12x = 79,718.87
  5. Step 5: Solve for x
    x = 79,718.87/280.12
  6. Step 6: Final answer
    x = 284.59

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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.