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Finding the Fourth Proportional to 198.74, 274.22 and 120.00

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Solution

The fourth proportional to 198.74, 274.22 and 120.00 is: 165.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.74 : 274.22 = 120.00 : x
  2. Step 2: Convert to fraction form
    198.74/274.22 = 120.00/x
  3. Step 3: Cross multiply
    198.74x = 274.22 × 120.00
  4. Step 4: Simplify right side
    198.74x = 32,905.11
  5. Step 5: Solve for x
    x = 32,905.11/198.74
  6. Step 6: Final answer
    x = 165.57

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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.