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Finding the Fourth Proportional to 203.32, 280.08 and 161.86

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Solution

The fourth proportional to 203.32, 280.08 and 161.86 is: 222.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.32 : 280.08 = 161.86 : x
  2. Step 2: Convert to fraction form
    203.32/280.08 = 161.86/x
  3. Step 3: Cross multiply
    203.32x = 280.08 × 161.86
  4. Step 4: Simplify right side
    203.32x = 45,333.75
  5. Step 5: Solve for x
    x = 45,333.75/203.32
  6. Step 6: Final answer
    x = 222.97

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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.