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Finding the Fourth Proportional to 198.77, 274.23 and 125.06

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Solution

The fourth proportional to 198.77, 274.23 and 125.06 is: 172.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.77 : 274.23 = 125.06 : x
  2. Step 2: Convert to fraction form
    198.77/274.23 = 125.06/x
  3. Step 3: Cross multiply
    198.77x = 274.23 × 125.06
  4. Step 4: Simplify right side
    198.77x = 34,295.20
  5. Step 5: Solve for x
    x = 34,295.20/198.77
  6. Step 6: Final answer
    x = 172.54

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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.