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Finding the Fourth Proportional to 198.94, 274.50 and 140.77

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Solution

The fourth proportional to 198.94, 274.50 and 140.77 is: 194.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.94 : 274.50 = 140.77 : x
  2. Step 2: Convert to fraction form
    198.94/274.50 = 140.77/x
  3. Step 3: Cross multiply
    198.94x = 274.50 × 140.77
  4. Step 4: Simplify right side
    198.94x = 38,641.37
  5. Step 5: Solve for x
    x = 38,641.37/198.94
  6. Step 6: Final answer
    x = 194.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.