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Finding the Fourth Proportional to 198.86, 299.36 and 153.78

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Solution

The fourth proportional to 198.86, 299.36 and 153.78 is: 231.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.86 : 299.36 = 153.78 : x
  2. Step 2: Convert to fraction form
    198.86/299.36 = 153.78/x
  3. Step 3: Cross multiply
    198.86x = 299.36 × 153.78
  4. Step 4: Simplify right side
    198.86x = 46,035.58
  5. Step 5: Solve for x
    x = 46,035.58/198.86
  6. Step 6: Final answer
    x = 231.50

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.