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Finding the Fourth Proportional to 195.98, 292.25 and 194.23

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Solution

The fourth proportional to 195.98, 292.25 and 194.23 is: 289.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.98 : 292.25 = 194.23 : x
  2. Step 2: Convert to fraction form
    195.98/292.25 = 194.23/x
  3. Step 3: Cross multiply
    195.98x = 292.25 × 194.23
  4. Step 4: Simplify right side
    195.98x = 56,762.52
  5. Step 5: Solve for x
    x = 56,762.52/195.98
  6. Step 6: Final answer
    x = 289.63

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