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Finding the Fourth Proportional to 203.08, 280.25 and 120.22

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Solution

The fourth proportional to 203.08, 280.25 and 120.22 is: 165.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.08 : 280.25 = 120.22 : x
  2. Step 2: Convert to fraction form
    203.08/280.25 = 120.22/x
  3. Step 3: Cross multiply
    203.08x = 280.25 × 120.22
  4. Step 4: Simplify right side
    203.08x = 33,691.66
  5. Step 5: Solve for x
    x = 33,691.66/203.08
  6. Step 6: Final answer
    x = 165.90

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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.