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Finding the Fourth Proportional to 203.06, 280.14 and 120.17

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Solution

The fourth proportional to 203.06, 280.14 and 120.17 is: 165.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.06 : 280.14 = 120.17 : x
  2. Step 2: Convert to fraction form
    203.06/280.14 = 120.17/x
  3. Step 3: Cross multiply
    203.06x = 280.14 × 120.17
  4. Step 4: Simplify right side
    203.06x = 33,664.42
  5. Step 5: Solve for x
    x = 33,664.42/203.06
  6. Step 6: Final answer
    x = 165.79

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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.