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Finding the Fourth Proportional to 254.85, 382.41 and 110.55

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Solution

The fourth proportional to 254.85, 382.41 and 110.55 is: 165.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.85 : 382.41 = 110.55 : x
  2. Step 2: Convert to fraction form
    254.85/382.41 = 110.55/x
  3. Step 3: Cross multiply
    254.85x = 382.41 × 110.55
  4. Step 4: Simplify right side
    254.85x = 42,275.43
  5. Step 5: Solve for x
    x = 42,275.43/254.85
  6. Step 6: Final answer
    x = 165.88

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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.