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Finding the Fourth Proportional to 196.61, 271.40 and 149.98

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Solution

The fourth proportional to 196.61, 271.40 and 149.98 is: 207.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.61 : 271.40 = 149.98 : x
  2. Step 2: Convert to fraction form
    196.61/271.40 = 149.98/x
  3. Step 3: Cross multiply
    196.61x = 271.40 × 149.98
  4. Step 4: Simplify right side
    196.61x = 40,704.57
  5. Step 5: Solve for x
    x = 40,704.57/196.61
  6. Step 6: Final answer
    x = 207.03

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.