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Finding the Fourth Proportional to 254.90, 350.96 and 205.90

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Solution

The fourth proportional to 254.90, 350.96 and 205.90 is: 283.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.90 : 350.96 = 205.90 : x
  2. Step 2: Convert to fraction form
    254.90/350.96 = 205.90/x
  3. Step 3: Cross multiply
    254.90x = 350.96 × 205.90
  4. Step 4: Simplify right side
    254.90x = 72,262.66
  5. Step 5: Solve for x
    x = 72,262.66/254.90
  6. Step 6: Final answer
    x = 283.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.