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Finding the Fourth Proportional to 196.95, 295.22 and 186.82

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Solution

The fourth proportional to 196.95, 295.22 and 186.82 is: 280.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.95 : 295.22 = 186.82 : x
  2. Step 2: Convert to fraction form
    196.95/295.22 = 186.82/x
  3. Step 3: Cross multiply
    196.95x = 295.22 × 186.82
  4. Step 4: Simplify right side
    196.95x = 55,152.07
  5. Step 5: Solve for x
    x = 55,152.07/196.95
  6. Step 6: Final answer
    x = 280.04

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.