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Finding the Fourth Proportional to 195.73, 269.86 and 130.12

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Solution

The fourth proportional to 195.73, 269.86 and 130.12 is: 179.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.73 : 269.86 = 130.12 : x
  2. Step 2: Convert to fraction form
    195.73/269.86 = 130.12/x
  3. Step 3: Cross multiply
    195.73x = 269.86 × 130.12
  4. Step 4: Simplify right side
    195.73x = 35,114.18
  5. Step 5: Solve for x
    x = 35,114.18/195.73
  6. Step 6: Final answer
    x = 179.40

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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.