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Finding the Fourth Proportional to 196.61, 271.16 and 130.22

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Solution

The fourth proportional to 196.61, 271.16 and 130.22 is: 179.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.61 : 271.16 = 130.22 : x
  2. Step 2: Convert to fraction form
    196.61/271.16 = 130.22/x
  3. Step 3: Cross multiply
    196.61x = 271.16 × 130.22
  4. Step 4: Simplify right side
    196.61x = 35,311.48
  5. Step 5: Solve for x
    x = 35,311.48/196.61
  6. Step 6: Final answer
    x = 179.60

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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.