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Finding the Fourth Proportional to 198.81, 274.14 and 139.86

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Solution

The fourth proportional to 198.81, 274.14 and 139.86 is: 192.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.81 : 274.14 = 139.86 : x
  2. Step 2: Convert to fraction form
    198.81/274.14 = 139.86/x
  3. Step 3: Cross multiply
    198.81x = 274.14 × 139.86
  4. Step 4: Simplify right side
    198.81x = 38,341.22
  5. Step 5: Solve for x
    x = 38,341.22/198.81
  6. Step 6: Final answer
    x = 192.85

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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.