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Finding the Fourth Proportional to 254.38, 380.88 and 132.38

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Solution

The fourth proportional to 254.38, 380.88 and 132.38 is: 198.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.38 : 380.88 = 132.38 : x
  2. Step 2: Convert to fraction form
    254.38/380.88 = 132.38/x
  3. Step 3: Cross multiply
    254.38x = 380.88 × 132.38
  4. Step 4: Simplify right side
    254.38x = 50,420.89
  5. Step 5: Solve for x
    x = 50,420.89/254.38
  6. Step 6: Final answer
    x = 198.21

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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.