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Finding the Fourth Proportional to 196.14, 292.80 and 181.90

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Solution

The fourth proportional to 196.14, 292.80 and 181.90 is: 271.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.14 : 292.80 = 181.90 : x
  2. Step 2: Convert to fraction form
    196.14/292.80 = 181.90/x
  3. Step 3: Cross multiply
    196.14x = 292.80 × 181.90
  4. Step 4: Simplify right side
    196.14x = 53,257.95
  5. Step 5: Solve for x
    x = 53,257.95/196.14
  6. Step 6: Final answer
    x = 271.53

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.