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Finding the Fourth Proportional to 254.00, 380.81 and 205.31

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Solution

The fourth proportional to 254.00, 380.81 and 205.31 is: 307.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.00 : 380.81 = 205.31 : x
  2. Step 2: Convert to fraction form
    254.00/380.81 = 205.31/x
  3. Step 3: Cross multiply
    254.00x = 380.81 × 205.31
  4. Step 4: Simplify right side
    254.00x = 78,181.17
  5. Step 5: Solve for x
    x = 78,181.17/254.00
  6. Step 6: Final answer
    x = 307.81

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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.