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Finding the Fourth Proportional to 203.10, 304.44 and 197.83

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Solution

The fourth proportional to 203.10, 304.44 and 197.83 is: 296.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.10 : 304.44 = 197.83 : x
  2. Step 2: Convert to fraction form
    203.10/304.44 = 197.83/x
  3. Step 3: Cross multiply
    203.10x = 304.44 × 197.83
  4. Step 4: Simplify right side
    203.10x = 60,227.37
  5. Step 5: Solve for x
    x = 60,227.37/203.10
  6. Step 6: Final answer
    x = 296.54

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