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Finding the Fourth Proportional to 196.12, 270.75 and 133.93

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Solution

The fourth proportional to 196.12, 270.75 and 133.93 is: 184.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.12 : 270.75 = 133.93 : x
  2. Step 2: Convert to fraction form
    196.12/270.75 = 133.93/x
  3. Step 3: Cross multiply
    196.12x = 270.75 × 133.93
  4. Step 4: Simplify right side
    196.12x = 36,261.55
  5. Step 5: Solve for x
    x = 36,261.55/196.12
  6. Step 6: Final answer
    x = 184.89

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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.