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Finding the Fourth Proportional to 254.20, 350.58 and 205.06

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Solution

The fourth proportional to 254.20, 350.58 and 205.06 is: 282.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.20 : 350.58 = 205.06 : x
  2. Step 2: Convert to fraction form
    254.20/350.58 = 205.06/x
  3. Step 3: Cross multiply
    254.20x = 350.58 × 205.06
  4. Step 4: Simplify right side
    254.20x = 71,889.93
  5. Step 5: Solve for x
    x = 71,889.93/254.20
  6. Step 6: Final answer
    x = 282.81

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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.