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Finding the Fourth Proportional to 260.28, 359.26 and 149.79

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Solution

The fourth proportional to 260.28, 359.26 and 149.79 is: 206.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.28 : 359.26 = 149.79 : x
  2. Step 2: Convert to fraction form
    260.28/359.26 = 149.79/x
  3. Step 3: Cross multiply
    260.28x = 359.26 × 149.79
  4. Step 4: Simplify right side
    260.28x = 53,813.18
  5. Step 5: Solve for x
    x = 53,813.18/260.28
  6. Step 6: Final answer
    x = 206.75

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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.