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Finding the Fourth Proportional to 203.54, 303.46 and 198.32

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Solution

The fourth proportional to 203.54, 303.46 and 198.32 is: 295.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.54 : 303.46 = 198.32 : x
  2. Step 2: Convert to fraction form
    203.54/303.46 = 198.32/x
  3. Step 3: Cross multiply
    203.54x = 303.46 × 198.32
  4. Step 4: Simplify right side
    203.54x = 60,182.19
  5. Step 5: Solve for x
    x = 60,182.19/203.54
  6. Step 6: Final answer
    x = 295.68

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.