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Finding the Fourth Proportional to 243.95, 365.85 and 198.54

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Solution

The fourth proportional to 243.95, 365.85 and 198.54 is: 297.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.95 : 365.85 = 198.54 : x
  2. Step 2: Convert to fraction form
    243.95/365.85 = 198.54/x
  3. Step 3: Cross multiply
    243.95x = 365.85 × 198.54
  4. Step 4: Simplify right side
    243.95x = 72,635.86
  5. Step 5: Solve for x
    x = 72,635.86/243.95
  6. Step 6: Final answer
    x = 297.76

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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.