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Finding the Fourth Proportional to 203.46, 280.83 and 120.59

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Solution

The fourth proportional to 203.46, 280.83 and 120.59 is: 166.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.46 : 280.83 = 120.59 : x
  2. Step 2: Convert to fraction form
    203.46/280.83 = 120.59/x
  3. Step 3: Cross multiply
    203.46x = 280.83 × 120.59
  4. Step 4: Simplify right side
    203.46x = 33,864.37
  5. Step 5: Solve for x
    x = 33,864.37/203.46
  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.