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Finding the Fourth Proportional to 203.46, 280.77 and 120.61

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Solution

The fourth proportional to 203.46, 280.77 and 120.61 is: 166.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.46 : 280.77 = 120.61 : x
  2. Step 2: Convert to fraction form
    203.46/280.77 = 120.61/x
  3. Step 3: Cross multiply
    203.46x = 280.77 × 120.61
  4. Step 4: Simplify right side
    203.46x = 33,862.27
  5. Step 5: Solve for x
    x = 33,862.27/203.46
  6. Step 6: Final answer
    x = 166.44

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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.