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Finding the Fourth Proportional to 195.70, 269.91 and 154.19

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Solution

The fourth proportional to 195.70, 269.91 and 154.19 is: 212.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.70 : 269.91 = 154.19 : x
  2. Step 2: Convert to fraction form
    195.70/269.91 = 154.19/x
  3. Step 3: Cross multiply
    195.70x = 269.91 × 154.19
  4. Step 4: Simplify right side
    195.70x = 41,616.99
  5. Step 5: Solve for x
    x = 41,616.99/195.70
  6. Step 6: Final answer
    x = 212.65

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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.