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Finding the Fourth Proportional to 196.34, 270.97 and 109.02

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Solution

The fourth proportional to 196.34, 270.97 and 109.02 is: 150.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.34 : 270.97 = 109.02 : x
  2. Step 2: Convert to fraction form
    196.34/270.97 = 109.02/x
  3. Step 3: Cross multiply
    196.34x = 270.97 × 109.02
  4. Step 4: Simplify right side
    196.34x = 29,541.15
  5. Step 5: Solve for x
    x = 29,541.15/196.34
  6. Step 6: Final answer
    x = 150.46

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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.