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Finding the Fourth Proportional to 195.18, 294.11 and 161.69

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Solution

The fourth proportional to 195.18, 294.11 and 161.69 is: 243.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.18 : 294.11 = 161.69 : x
  2. Step 2: Convert to fraction form
    195.18/294.11 = 161.69/x
  3. Step 3: Cross multiply
    195.18x = 294.11 × 161.69
  4. Step 4: Simplify right side
    195.18x = 47,553.84
  5. Step 5: Solve for x
    x = 47,553.84/195.18
  6. Step 6: Final answer
    x = 243.64

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.