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Finding the Fourth Proportional to 196.34, 270.93 and 109

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Solution

The fourth proportional to 196.34, 270.93 and 109 is: 150.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.34 : 270.93 = 109 : x
  2. Step 2: Convert to fraction form
    196.34/270.93 = 109/x
  3. Step 3: Cross multiply
    196.34x = 270.93 × 109
  4. Step 4: Simplify right side
    196.34x = 29,531.37
  5. Step 5: Solve for x
    x = 29,531.37/196.34
  6. Step 6: Final answer
    x = 150.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.