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Finding the Fourth Proportional to 196.38, 294.48 and 105.06

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Solution

The fourth proportional to 196.38, 294.48 and 105.06 is: 157.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.38 : 294.48 = 105.06 : x
  2. Step 2: Convert to fraction form
    196.38/294.48 = 105.06/x
  3. Step 3: Cross multiply
    196.38x = 294.48 × 105.06
  4. Step 4: Simplify right side
    196.38x = 30,938.07
  5. Step 5: Solve for x
    x = 30,938.07/196.38
  6. Step 6: Final answer
    x = 157.54

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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.