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Finding the Fourth Proportional to 260.40, 359.44 and 205.24

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Solution

The fourth proportional to 260.40, 359.44 and 205.24 is: 283.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.40 : 359.44 = 205.24 : x
  2. Step 2: Convert to fraction form
    260.40/359.44 = 205.24/x
  3. Step 3: Cross multiply
    260.40x = 359.44 × 205.24
  4. Step 4: Simplify right side
    260.40x = 73,771.47
  5. Step 5: Solve for x
    x = 73,771.47/260.40
  6. Step 6: Final answer
    x = 283.30

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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.