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Finding the Fourth Proportional to 203.77, 280.72 and 166.86

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Solution

The fourth proportional to 203.77, 280.72 and 166.86 is: 229.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.77 : 280.72 = 166.86 : x
  2. Step 2: Convert to fraction form
    203.77/280.72 = 166.86/x
  3. Step 3: Cross multiply
    203.77x = 280.72 × 166.86
  4. Step 4: Simplify right side
    203.77x = 46,840.21
  5. Step 5: Solve for x
    x = 46,840.21/203.77
  6. Step 6: Final answer
    x = 229.87

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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.