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Finding the Fourth Proportional to 140.37, 211.60 and 138.27

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Solution

The fourth proportional to 140.37, 211.60 and 138.27 is: 208.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.37 : 211.60 = 138.27 : x
  2. Step 2: Convert to fraction form
    140.37/211.60 = 138.27/x
  3. Step 3: Cross multiply
    140.37x = 211.60 × 138.27
  4. Step 4: Simplify right side
    140.37x = 29,257.93
  5. Step 5: Solve for x
    x = 29,257.93/140.37
  6. Step 6: Final answer
    x = 208.43

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.