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Finding the Fourth Proportional to 254.53, 381.99 and 205.23

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Solution

The fourth proportional to 254.53, 381.99 and 205.23 is: 308.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.53 : 381.99 = 205.23 : x
  2. Step 2: Convert to fraction form
    254.53/381.99 = 205.23/x
  3. Step 3: Cross multiply
    254.53x = 381.99 × 205.23
  4. Step 4: Simplify right side
    254.53x = 78,396.78
  5. Step 5: Solve for x
    x = 78,396.78/254.53
  6. Step 6: Final answer
    x = 308.01

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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.