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Finding the Fourth Proportional to 196.03, 269.85 and 167.86

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Solution

The fourth proportional to 196.03, 269.85 and 167.86 is: 231.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.03 : 269.85 = 167.86 : x
  2. Step 2: Convert to fraction form
    196.03/269.85 = 167.86/x
  3. Step 3: Cross multiply
    196.03x = 269.85 × 167.86
  4. Step 4: Simplify right side
    196.03x = 45,297.02
  5. Step 5: Solve for x
    x = 45,297.02/196.03
  6. Step 6: Final answer
    x = 231.07

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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.