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Finding the Fourth Proportional to 260.28, 359.37 and 204.89

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Solution

The fourth proportional to 260.28, 359.37 and 204.89 is: 282.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.28 : 359.37 = 204.89 : x
  2. Step 2: Convert to fraction form
    260.28/359.37 = 204.89/x
  3. Step 3: Cross multiply
    260.28x = 359.37 × 204.89
  4. Step 4: Simplify right side
    260.28x = 73,629.52
  5. Step 5: Solve for x
    x = 73,629.52/260.28
  6. Step 6: Final answer
    x = 282.89

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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.