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Finding the Fourth Proportional to 254.12, 381.42 and 238.40

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Solution

The fourth proportional to 254.12, 381.42 and 238.40 is: 357.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.12 : 381.42 = 238.40 : x
  2. Step 2: Convert to fraction form
    254.12/381.42 = 238.40/x
  3. Step 3: Cross multiply
    254.12x = 381.42 × 238.40
  4. Step 4: Simplify right side
    254.12x = 90,930.53
  5. Step 5: Solve for x
    x = 90,930.53/254.12
  6. Step 6: Final answer
    x = 357.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.