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Finding the Fourth Proportional to 260.43, 359.42 and 162.18

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Solution

The fourth proportional to 260.43, 359.42 and 162.18 is: 223.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.43 : 359.42 = 162.18 : x
  2. Step 2: Convert to fraction form
    260.43/359.42 = 162.18/x
  3. Step 3: Cross multiply
    260.43x = 359.42 × 162.18
  4. Step 4: Simplify right side
    260.43x = 58,290.74
  5. Step 5: Solve for x
    x = 58,290.74/260.43
  6. Step 6: Final answer
    x = 223.82

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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.