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Finding the Fourth Proportional to 254.04, 380.82 and 132.06

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Solution

The fourth proportional to 254.04, 380.82 and 132.06 is: 197.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.04 : 380.82 = 132.06 : x
  2. Step 2: Convert to fraction form
    254.04/380.82 = 132.06/x
  3. Step 3: Cross multiply
    254.04x = 380.82 × 132.06
  4. Step 4: Simplify right side
    254.04x = 50,291.09
  5. Step 5: Solve for x
    x = 50,291.09/254.04
  6. Step 6: Final answer
    x = 197.97

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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.