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Finding the Fourth Proportional to 196.93, 271.58 and 130.44

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Solution

The fourth proportional to 196.93, 271.58 and 130.44 is: 179.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.93 : 271.58 = 130.44 : x
  2. Step 2: Convert to fraction form
    196.93/271.58 = 130.44/x
  3. Step 3: Cross multiply
    196.93x = 271.58 × 130.44
  4. Step 4: Simplify right side
    196.93x = 35,422.89
  5. Step 5: Solve for x
    x = 35,422.89/196.93
  6. Step 6: Final answer
    x = 179.88

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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.