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Finding the Fourth Proportional to 203.88, 304.15 and 198.30

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Solution

The fourth proportional to 203.88, 304.15 and 198.30 is: 295.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.88 : 304.15 = 198.30 : x
  2. Step 2: Convert to fraction form
    203.88/304.15 = 198.30/x
  3. Step 3: Cross multiply
    203.88x = 304.15 × 198.30
  4. Step 4: Simplify right side
    203.88x = 60,312.95
  5. Step 5: Solve for x
    x = 60,312.95/203.88
  6. Step 6: Final answer
    x = 295.83

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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.