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Finding the Fourth Proportional to 260.24, 359.42 and 205.56

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Solution

The fourth proportional to 260.24, 359.42 and 205.56 is: 283.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.24 : 359.42 = 205.56 : x
  2. Step 2: Convert to fraction form
    260.24/359.42 = 205.56/x
  3. Step 3: Cross multiply
    260.24x = 359.42 × 205.56
  4. Step 4: Simplify right side
    260.24x = 73,881.35
  5. Step 5: Solve for x
    x = 73,881.35/260.24
  6. Step 6: Final answer
    x = 283.90

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