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Finding the Fourth Proportional to 280.28, 386.83 and 163.90

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Solution

The fourth proportional to 280.28, 386.83 and 163.90 is: 226.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.28 : 386.83 = 163.90 : x
  2. Step 2: Convert to fraction form
    280.28/386.83 = 163.90/x
  3. Step 3: Cross multiply
    280.28x = 386.83 × 163.90
  4. Step 4: Simplify right side
    280.28x = 63,401.44
  5. Step 5: Solve for x
    x = 63,401.44/280.28
  6. Step 6: Final answer
    x = 226.21

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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.