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Finding the Fourth Proportional to 168.04, 231.78 and 140.41

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Solution

The fourth proportional to 168.04, 231.78 and 140.41 is: 193.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.04 : 231.78 = 140.41 : x
  2. Step 2: Convert to fraction form
    168.04/231.78 = 140.41/x
  3. Step 3: Cross multiply
    168.04x = 231.78 × 140.41
  4. Step 4: Simplify right side
    168.04x = 32,544.23
  5. Step 5: Solve for x
    x = 32,544.23/168.04
  6. Step 6: Final answer
    x = 193.67

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Why These Related Problems?

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