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Finding the Fourth Proportional to 140.22, 194.58 and 136.44

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Solution

The fourth proportional to 140.22, 194.58 and 136.44 is: 189.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.22 : 194.58 = 136.44 : x
  2. Step 2: Convert to fraction form
    140.22/194.58 = 136.44/x
  3. Step 3: Cross multiply
    140.22x = 194.58 × 136.44
  4. Step 4: Simplify right side
    140.22x = 26,548.50
  5. Step 5: Solve for x
    x = 26,548.50/140.22
  6. Step 6: Final answer
    x = 189.33

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.