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Finding the Fourth Proportional to 254.88, 382.31 and 110.70

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Solution

The fourth proportional to 254.88, 382.31 and 110.70 is: 166.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.88 : 382.31 = 110.70 : x
  2. Step 2: Convert to fraction form
    254.88/382.31 = 110.70/x
  3. Step 3: Cross multiply
    254.88x = 382.31 × 110.70
  4. Step 4: Simplify right side
    254.88x = 42,321.72
  5. Step 5: Solve for x
    x = 42,321.72/254.88
  6. Step 6: Final answer
    x = 166.05

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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.