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Finding the Fourth Proportional to 154.20, 231.38 and 130.44

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Solution

The fourth proportional to 154.20, 231.38 and 130.44 is: 195.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.20 : 231.38 = 130.44 : x
  2. Step 2: Convert to fraction form
    154.20/231.38 = 130.44/x
  3. Step 3: Cross multiply
    154.20x = 231.38 × 130.44
  4. Step 4: Simplify right side
    154.20x = 30,181.21
  5. Step 5: Solve for x
    x = 30,181.21/154.20
  6. Step 6: Final answer
    x = 195.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.