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Finding the Fourth Proportional to 196.49, 271.03 and 155.03

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Solution

The fourth proportional to 196.49, 271.03 and 155.03 is: 213.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.49 : 271.03 = 155.03 : x
  2. Step 2: Convert to fraction form
    196.49/271.03 = 155.03/x
  3. Step 3: Cross multiply
    196.49x = 271.03 × 155.03
  4. Step 4: Simplify right side
    196.49x = 42,017.78
  5. Step 5: Solve for x
    x = 42,017.78/196.49
  6. Step 6: Final answer
    x = 213.84

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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.