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Finding the Fourth Proportional to 260.24, 359.20 and 194.96

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Solution

The fourth proportional to 260.24, 359.20 and 194.96 is: 269.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.24 : 359.20 = 194.96 : x
  2. Step 2: Convert to fraction form
    260.24/359.20 = 194.96/x
  3. Step 3: Cross multiply
    260.24x = 359.20 × 194.96
  4. Step 4: Simplify right side
    260.24x = 70,029.63
  5. Step 5: Solve for x
    x = 70,029.63/260.24
  6. Step 6: Final answer
    x = 269.10

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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.