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Finding the Fourth Proportional to 260.23, 359.18 and 162.10

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Solution

The fourth proportional to 260.23, 359.18 and 162.10 is: 223.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.23 : 359.18 = 162.10 : x
  2. Step 2: Convert to fraction form
    260.23/359.18 = 162.10/x
  3. Step 3: Cross multiply
    260.23x = 359.18 × 162.10
  4. Step 4: Simplify right side
    260.23x = 58,221.98
  5. Step 5: Solve for x
    x = 58,221.98/260.23
  6. Step 6: Final answer
    x = 223.73

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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.