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Finding the Fourth Proportional to 203.94, 305.67 and 82.02

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Solution

The fourth proportional to 203.94, 305.67 and 82.02 is: 122.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.94 : 305.67 = 82.02 : x
  2. Step 2: Convert to fraction form
    203.94/305.67 = 82.02/x
  3. Step 3: Cross multiply
    203.94x = 305.67 × 82.02
  4. Step 4: Simplify right side
    203.94x = 25,071.05
  5. Step 5: Solve for x
    x = 25,071.05/203.94
  6. Step 6: Final answer
    x = 122.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.