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Finding the Fourth Proportional to 196.03, 270.50 and 149.29

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Solution

The fourth proportional to 196.03, 270.50 and 149.29 is: 206.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.03 : 270.50 = 149.29 : x
  2. Step 2: Convert to fraction form
    196.03/270.50 = 149.29/x
  3. Step 3: Cross multiply
    196.03x = 270.50 × 149.29
  4. Step 4: Simplify right side
    196.03x = 40,381.41
  5. Step 5: Solve for x
    x = 40,381.41/196.03
  6. Step 6: Final answer
    x = 206.00

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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.