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Finding the Fourth Proportional to 254.44, 381.05 and 199.76

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Solution

The fourth proportional to 254.44, 381.05 and 199.76 is: 299.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.44 : 381.05 = 199.76 : x
  2. Step 2: Convert to fraction form
    254.44/381.05 = 199.76/x
  3. Step 3: Cross multiply
    254.44x = 381.05 × 199.76
  4. Step 4: Simplify right side
    254.44x = 76,117.55
  5. Step 5: Solve for x
    x = 76,117.55/254.44
  6. Step 6: Final answer
    x = 299.16

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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.