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Finding the Fourth Proportional to 196.83, 270.03 and 187.72

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Solution

The fourth proportional to 196.83, 270.03 and 187.72 is: 257.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.83 : 270.03 = 187.72 : x
  2. Step 2: Convert to fraction form
    196.83/270.03 = 187.72/x
  3. Step 3: Cross multiply
    196.83x = 270.03 × 187.72
  4. Step 4: Simplify right side
    196.83x = 50,690.06
  5. Step 5: Solve for x
    x = 50,690.06/196.83
  6. Step 6: Final answer
    x = 257.53

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.