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Finding the Fourth Proportional to 260.90, 391.21 and 116.45

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Solution

The fourth proportional to 260.90, 391.21 and 116.45 is: 174.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.90 : 391.21 = 116.45 : x
  2. Step 2: Convert to fraction form
    260.90/391.21 = 116.45/x
  3. Step 3: Cross multiply
    260.90x = 391.21 × 116.45
  4. Step 4: Simplify right side
    260.90x = 45,556.40
  5. Step 5: Solve for x
    x = 45,556.40/260.90
  6. Step 6: Final answer
    x = 174.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.