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Finding the Fourth Proportional to 254.10, 380.34 and 132.20

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Solution

The fourth proportional to 254.10, 380.34 and 132.20 is: 197.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.10 : 380.34 = 132.20 : x
  2. Step 2: Convert to fraction form
    254.10/380.34 = 132.20/x
  3. Step 3: Cross multiply
    254.10x = 380.34 × 132.20
  4. Step 4: Simplify right side
    254.10x = 50,279.05
  5. Step 5: Solve for x
    x = 50,279.05/254.10
  6. Step 6: Final answer
    x = 197.87

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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.