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Finding the Fourth Proportional to 197.26, 271.99 and 187

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Solution

The fourth proportional to 197.26, 271.99 and 187 is: 257.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.26 : 271.99 = 187 : x
  2. Step 2: Convert to fraction form
    197.26/271.99 = 187/x
  3. Step 3: Cross multiply
    197.26x = 271.99 × 187
  4. Step 4: Simplify right side
    197.26x = 50,862.13
  5. Step 5: Solve for x
    x = 50,862.13/197.26
  6. Step 6: Final answer
    x = 257.84

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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.