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Finding the Fourth Proportional to 195.21, 292.97 and 137.55

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Solution

The fourth proportional to 195.21, 292.97 and 137.55 is: 206.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.21 : 292.97 = 137.55 : x
  2. Step 2: Convert to fraction form
    195.21/292.97 = 137.55/x
  3. Step 3: Cross multiply
    195.21x = 292.97 × 137.55
  4. Step 4: Simplify right side
    195.21x = 40,297.63
  5. Step 5: Solve for x
    x = 40,297.63/195.21
  6. Step 6: Final answer
    x = 206.43

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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.