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Finding the Fourth Proportional to 196.83, 271.67 and 130.50

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Solution

The fourth proportional to 196.83, 271.67 and 130.50 is: 180.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.83 : 271.67 = 130.50 : x
  2. Step 2: Convert to fraction form
    196.83/271.67 = 130.50/x
  3. Step 3: Cross multiply
    196.83x = 271.67 × 130.50
  4. Step 4: Simplify right side
    196.83x = 35,452.28
  5. Step 5: Solve for x
    x = 35,452.28/196.83
  6. Step 6: Final answer
    x = 180.12

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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.