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Finding the Fourth Proportional to 196.34, 294.60 and 105.09

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Solution

The fourth proportional to 196.34, 294.60 and 105.09 is: 157.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.34 : 294.60 = 105.09 : x
  2. Step 2: Convert to fraction form
    196.34/294.60 = 105.09/x
  3. Step 3: Cross multiply
    196.34x = 294.60 × 105.09
  4. Step 4: Simplify right side
    196.34x = 30,959.51
  5. Step 5: Solve for x
    x = 30,959.51/196.34
  6. Step 6: Final answer
    x = 157.69

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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.