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Finding the Fourth Proportional to 263.95, 364.62 and 198.34

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Solution

The fourth proportional to 263.95, 364.62 and 198.34 is: 273.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.95 : 364.62 = 198.34 : x
  2. Step 2: Convert to fraction form
    263.95/364.62 = 198.34/x
  3. Step 3: Cross multiply
    263.95x = 364.62 × 198.34
  4. Step 4: Simplify right side
    263.95x = 72,318.73
  5. Step 5: Solve for x
    x = 72,318.73/263.95
  6. Step 6: Final answer
    x = 273.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.