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Finding the Fourth Proportional to 196.32, 270.94 and 108.99

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Solution

The fourth proportional to 196.32, 270.94 and 108.99 is: 150.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.32 : 270.94 = 108.99 : x
  2. Step 2: Convert to fraction form
    196.32/270.94 = 108.99/x
  3. Step 3: Cross multiply
    196.32x = 270.94 × 108.99
  4. Step 4: Simplify right side
    196.32x = 29,529.21
  5. Step 5: Solve for x
    x = 29,529.21/196.32
  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.