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Finding the Fourth Proportional to 196.83, 271.63 and 118.15

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Solution

The fourth proportional to 196.83, 271.63 and 118.15 is: 163.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.83 : 271.63 = 118.15 : x
  2. Step 2: Convert to fraction form
    196.83/271.63 = 118.15/x
  3. Step 3: Cross multiply
    196.83x = 271.63 × 118.15
  4. Step 4: Simplify right side
    196.83x = 32,093.08
  5. Step 5: Solve for x
    x = 32,093.08/196.83
  6. Step 6: Final answer
    x = 163.05

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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.