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Finding the Fourth Proportional to 195.16, 292.33 and 121.79

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Solution

The fourth proportional to 195.16, 292.33 and 121.79 is: 182.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.16 : 292.33 = 121.79 : x
  2. Step 2: Convert to fraction form
    195.16/292.33 = 121.79/x
  3. Step 3: Cross multiply
    195.16x = 292.33 × 121.79
  4. Step 4: Simplify right side
    195.16x = 35,602.87
  5. Step 5: Solve for x
    x = 35,602.87/195.16
  6. Step 6: Final answer
    x = 182.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.