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Finding the Fourth Proportional to 195.44, 292.47 and 164.66

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Solution

The fourth proportional to 195.44, 292.47 and 164.66 is: 246.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.44 : 292.47 = 164.66 : x
  2. Step 2: Convert to fraction form
    195.44/292.47 = 164.66/x
  3. Step 3: Cross multiply
    195.44x = 292.47 × 164.66
  4. Step 4: Simplify right side
    195.44x = 48,158.11
  5. Step 5: Solve for x
    x = 48,158.11/195.44
  6. Step 6: Final answer
    x = 246.41

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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.