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Finding the Fourth Proportional to 196.64, 270.80 and 138.24

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Solution

The fourth proportional to 196.64, 270.80 and 138.24 is: 190.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.64 : 270.80 = 138.24 : x
  2. Step 2: Convert to fraction form
    196.64/270.80 = 138.24/x
  3. Step 3: Cross multiply
    196.64x = 270.80 × 138.24
  4. Step 4: Simplify right side
    196.64x = 37,435.39
  5. Step 5: Solve for x
    x = 37,435.39/196.64
  6. Step 6: Final answer
    x = 190.38

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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.