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Finding the Fourth Proportional to 195.29, 292.96 and 73.64

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Solution

The fourth proportional to 195.29, 292.96 and 73.64 is: 110.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.29 : 292.96 = 73.64 : x
  2. Step 2: Convert to fraction form
    195.29/292.96 = 73.64/x
  3. Step 3: Cross multiply
    195.29x = 292.96 × 73.64
  4. Step 4: Simplify right side
    195.29x = 21,573.57
  5. Step 5: Solve for x
    x = 21,573.57/195.29
  6. Step 6: Final answer
    x = 110.47

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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.