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Finding the Fourth Proportional to 198.72, 274.23 and 110.20

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Solution

The fourth proportional to 198.72, 274.23 and 110.20 is: 152.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.72 : 274.23 = 110.20 : x
  2. Step 2: Convert to fraction form
    198.72/274.23 = 110.20/x
  3. Step 3: Cross multiply
    198.72x = 274.23 × 110.20
  4. Step 4: Simplify right side
    198.72x = 30,219.46
  5. Step 5: Solve for x
    x = 30,219.46/198.72
  6. Step 6: Final answer
    x = 152.07

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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.