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Finding the Fourth Proportional to 198.80, 274.24 and 157.22

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Solution

The fourth proportional to 198.80, 274.24 and 157.22 is: 216.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.80 : 274.24 = 157.22 : x
  2. Step 2: Convert to fraction form
    198.80/274.24 = 157.22/x
  3. Step 3: Cross multiply
    198.80x = 274.24 × 157.22
  4. Step 4: Simplify right side
    198.80x = 43,116.01
  5. Step 5: Solve for x
    x = 43,116.01/198.80
  6. Step 6: Final answer
    x = 216.88

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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.