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Finding the Fourth Proportional to 196.52, 271.07 and 141.41

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Solution

The fourth proportional to 196.52, 271.07 and 141.41 is: 195.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.52 : 271.07 = 141.41 : x
  2. Step 2: Convert to fraction form
    196.52/271.07 = 141.41/x
  3. Step 3: Cross multiply
    196.52x = 271.07 × 141.41
  4. Step 4: Simplify right side
    196.52x = 38,332.01
  5. Step 5: Solve for x
    x = 38,332.01/196.52
  6. Step 6: Final answer
    x = 195.05

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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.