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Finding the Fourth Proportional to 198.67, 274.23 and 177.91

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Solution

The fourth proportional to 198.67, 274.23 and 177.91 is: 245.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.67 : 274.23 = 177.91 : x
  2. Step 2: Convert to fraction form
    198.67/274.23 = 177.91/x
  3. Step 3: Cross multiply
    198.67x = 274.23 × 177.91
  4. Step 4: Simplify right side
    198.67x = 48,786.89
  5. Step 5: Solve for x
    x = 48,786.89/198.67
  6. Step 6: Final answer
    x = 245.57

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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.