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Finding the Fourth Proportional to 196.21, 270.65 and 149.50

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Solution

The fourth proportional to 196.21, 270.65 and 149.50 is: 206.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.21 : 270.65 = 149.50 : x
  2. Step 2: Convert to fraction form
    196.21/270.65 = 149.50/x
  3. Step 3: Cross multiply
    196.21x = 270.65 × 149.50
  4. Step 4: Simplify right side
    196.21x = 40,461.43
  5. Step 5: Solve for x
    x = 40,461.43/196.21
  6. Step 6: Final answer
    x = 206.21

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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.