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Finding the Fourth Proportional to 195, 269.16 and 143.40

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Solution

The fourth proportional to 195, 269.16 and 143.40 is: 197.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    195 : 269.16 = 143.40 : x
  2. Step 2: Convert to fraction form
    195/269.16 = 143.40/x
  3. Step 3: Cross multiply
    195x = 269.16 × 143.40
  4. Step 4: Simplify right side
    195x = 38,597.54
  5. Step 5: Solve for x
    x = 38,597.54/195
  6. Step 6: Final answer
    x = 197.94

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Why These Related Problems?

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