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Finding the Fourth Proportional to 196.35, 294.66 and 105.18

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Solution

The fourth proportional to 196.35, 294.66 and 105.18 is: 157.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.35 : 294.66 = 105.18 : x
  2. Step 2: Convert to fraction form
    196.35/294.66 = 105.18/x
  3. Step 3: Cross multiply
    196.35x = 294.66 × 105.18
  4. Step 4: Simplify right side
    196.35x = 30,992.34
  5. Step 5: Solve for x
    x = 30,992.34/196.35
  6. Step 6: Final answer
    x = 157.84

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Why These Related Problems?

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