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Finding the Fourth Proportional to 196.66, 270.89 and 144.06

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Solution

The fourth proportional to 196.66, 270.89 and 144.06 is: 198.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.66 : 270.89 = 144.06 : x
  2. Step 2: Convert to fraction form
    196.66/270.89 = 144.06/x
  3. Step 3: Cross multiply
    196.66x = 270.89 × 144.06
  4. Step 4: Simplify right side
    196.66x = 39,024.41
  5. Step 5: Solve for x
    x = 39,024.41/196.66
  6. Step 6: Final answer
    x = 198.44

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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.