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Finding the Fourth Proportional to 196.54, 271.21 and 130.06

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Solution

The fourth proportional to 196.54, 271.21 and 130.06 is: 179.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.54 : 271.21 = 130.06 : x
  2. Step 2: Convert to fraction form
    196.54/271.21 = 130.06/x
  3. Step 3: Cross multiply
    196.54x = 271.21 × 130.06
  4. Step 4: Simplify right side
    196.54x = 35,273.57
  5. Step 5: Solve for x
    x = 35,273.57/196.54
  6. Step 6: Final answer
    x = 179.47

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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.