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Finding the Fourth Proportional to 196.27, 294.48 and 98.98

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Solution

The fourth proportional to 196.27, 294.48 and 98.98 is: 148.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.27 : 294.48 = 98.98 : x
  2. Step 2: Convert to fraction form
    196.27/294.48 = 98.98/x
  3. Step 3: Cross multiply
    196.27x = 294.48 × 98.98
  4. Step 4: Simplify right side
    196.27x = 29,146.89
  5. Step 5: Solve for x
    x = 29,146.89/196.27
  6. Step 6: Final answer
    x = 148.51

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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.