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Finding the Fourth Proportional to 198.69, 274.03 and 133.08

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Solution

The fourth proportional to 198.69, 274.03 and 133.08 is: 183.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.69 : 274.03 = 133.08 : x
  2. Step 2: Convert to fraction form
    198.69/274.03 = 133.08/x
  3. Step 3: Cross multiply
    198.69x = 274.03 × 133.08
  4. Step 4: Simplify right side
    198.69x = 36,467.91
  5. Step 5: Solve for x
    x = 36,467.91/198.69
  6. Step 6: Final answer
    x = 183.54

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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.