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Finding the Fourth Proportional to 280.27, 386.83 and 163.86

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Solution

The fourth proportional to 280.27, 386.83 and 163.86 is: 226.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.27 : 386.83 = 163.86 : x
  2. Step 2: Convert to fraction form
    280.27/386.83 = 163.86/x
  3. Step 3: Cross multiply
    280.27x = 386.83 × 163.86
  4. Step 4: Simplify right side
    280.27x = 63,385.96
  5. Step 5: Solve for x
    x = 63,385.96/280.27
  6. Step 6: Final answer
    x = 226.16

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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.