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Finding the Fourth Proportional to 196.10, 293.96 and 98.54

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Solution

The fourth proportional to 196.10, 293.96 and 98.54 is: 147.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.10 : 293.96 = 98.54 : x
  2. Step 2: Convert to fraction form
    196.10/293.96 = 98.54/x
  3. Step 3: Cross multiply
    196.10x = 293.96 × 98.54
  4. Step 4: Simplify right side
    196.10x = 28,964.86
  5. Step 5: Solve for x
    x = 28,964.86/196.10
  6. Step 6: Final answer
    x = 147.71

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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.