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Finding the Fourth Proportional to 260.78, 359.45 and 205.43

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Solution

The fourth proportional to 260.78, 359.45 and 205.43 is: 283.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.78 : 359.45 = 205.43 : x
  2. Step 2: Convert to fraction form
    260.78/359.45 = 205.43/x
  3. Step 3: Cross multiply
    260.78x = 359.45 × 205.43
  4. Step 4: Simplify right side
    260.78x = 73,840.02
  5. Step 5: Solve for x
    x = 73,840.02/260.78
  6. Step 6: Final answer
    x = 283.16

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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.