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Finding the Fourth Proportional to 203.37, 280.66 and 120.48

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Solution

The fourth proportional to 203.37, 280.66 and 120.48 is: 166.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.37 : 280.66 = 120.48 : x
  2. Step 2: Convert to fraction form
    203.37/280.66 = 120.48/x
  3. Step 3: Cross multiply
    203.37x = 280.66 × 120.48
  4. Step 4: Simplify right side
    203.37x = 33,813.92
  5. Step 5: Solve for x
    x = 33,813.92/203.37
  6. Step 6: Final answer
    x = 166.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.