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Finding the Fourth Proportional to 260, 389.82 and 129.96

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Solution

The fourth proportional to 260, 389.82 and 129.96 is: 194.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    260 : 389.82 = 129.96 : x
  2. Step 2: Convert to fraction form
    260/389.82 = 129.96/x
  3. Step 3: Cross multiply
    260x = 389.82 × 129.96
  4. Step 4: Simplify right side
    260x = 50,661.01
  5. Step 5: Solve for x
    x = 50,661.01/260
  6. Step 6: Final answer
    x = 194.85

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