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Finding the Fourth Proportional to 260.69, 359.78 and 162.46

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Solution

The fourth proportional to 260.69, 359.78 and 162.46 is: 224.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.69 : 359.78 = 162.46 : x
  2. Step 2: Convert to fraction form
    260.69/359.78 = 162.46/x
  3. Step 3: Cross multiply
    260.69x = 359.78 × 162.46
  4. Step 4: Simplify right side
    260.69x = 58,447.25
  5. Step 5: Solve for x
    x = 58,447.25/260.69
  6. Step 6: Final answer
    x = 224.21

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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.