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Finding the Fourth Proportional to 195.85, 269.99 and 130.24

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Solution

The fourth proportional to 195.85, 269.99 and 130.24 is: 179.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.85 : 269.99 = 130.24 : x
  2. Step 2: Convert to fraction form
    195.85/269.99 = 130.24/x
  3. Step 3: Cross multiply
    195.85x = 269.99 × 130.24
  4. Step 4: Simplify right side
    195.85x = 35,162.85
  5. Step 5: Solve for x
    x = 35,162.85/195.85
  6. Step 6: Final answer
    x = 179.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.