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Finding the Fourth Proportional to 140.14, 209.39 and 110.98

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Solution

The fourth proportional to 140.14, 209.39 and 110.98 is: 165.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.14 : 209.39 = 110.98 : x
  2. Step 2: Convert to fraction form
    140.14/209.39 = 110.98/x
  3. Step 3: Cross multiply
    140.14x = 209.39 × 110.98
  4. Step 4: Simplify right side
    140.14x = 23,238.10
  5. Step 5: Solve for x
    x = 23,238.10/140.14
  6. Step 6: Final answer
    x = 165.82

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.