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Finding the Fourth Proportional to 195.97, 292.42 and 194.83

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Solution

The fourth proportional to 195.97, 292.42 and 194.83 is: 290.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.97 : 292.42 = 194.83 : x
  2. Step 2: Convert to fraction form
    195.97/292.42 = 194.83/x
  3. Step 3: Cross multiply
    195.97x = 292.42 × 194.83
  4. Step 4: Simplify right side
    195.97x = 56,972.19
  5. Step 5: Solve for x
    x = 56,972.19/195.97
  6. Step 6: Final answer
    x = 290.72

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.