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Finding the Fourth Proportional to 254.42, 381.99 and 193.94

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Solution

The fourth proportional to 254.42, 381.99 and 193.94 is: 291.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.42 : 381.99 = 193.94 : x
  2. Step 2: Convert to fraction form
    254.42/381.99 = 193.94/x
  3. Step 3: Cross multiply
    254.42x = 381.99 × 193.94
  4. Step 4: Simplify right side
    254.42x = 74,083.14
  5. Step 5: Solve for x
    x = 74,083.14/254.42
  6. Step 6: Final answer
    x = 291.18

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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.