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Finding the Fourth Proportional to 196.13, 270.59 and 137.06

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Solution

The fourth proportional to 196.13, 270.59 and 137.06 is: 189.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.13 : 270.59 = 137.06 : x
  2. Step 2: Convert to fraction form
    196.13/270.59 = 137.06/x
  3. Step 3: Cross multiply
    196.13x = 270.59 × 137.06
  4. Step 4: Simplify right side
    196.13x = 37,087.07
  5. Step 5: Solve for x
    x = 37,087.07/196.13
  6. Step 6: Final answer
    x = 189.09

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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.