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Finding the Fourth Proportional to 254.67, 382.14 and 193.79

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Solution

The fourth proportional to 254.67, 382.14 and 193.79 is: 290.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.67 : 382.14 = 193.79 : x
  2. Step 2: Convert to fraction form
    254.67/382.14 = 193.79/x
  3. Step 3: Cross multiply
    254.67x = 382.14 × 193.79
  4. Step 4: Simplify right side
    254.67x = 74,053.00
  5. Step 5: Solve for x
    x = 74,053.00/254.67
  6. Step 6: Final answer
    x = 290.78

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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.