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Finding the Fourth Proportional to 196.04, 270.66 and 144.52

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Solution

The fourth proportional to 196.04, 270.66 and 144.52 is: 199.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.04 : 270.66 = 144.52 : x
  2. Step 2: Convert to fraction form
    196.04/270.66 = 144.52/x
  3. Step 3: Cross multiply
    196.04x = 270.66 × 144.52
  4. Step 4: Simplify right side
    196.04x = 39,115.78
  5. Step 5: Solve for x
    x = 39,115.78/196.04
  6. Step 6: Final answer
    x = 199.53

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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.