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Finding the Fourth Proportional to 196.40, 271.07 and 149.93

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Solution

The fourth proportional to 196.40, 271.07 and 149.93 is: 206.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.40 : 271.07 = 149.93 : x
  2. Step 2: Convert to fraction form
    196.40/271.07 = 149.93/x
  3. Step 3: Cross multiply
    196.40x = 271.07 × 149.93
  4. Step 4: Simplify right side
    196.40x = 40,641.53
  5. Step 5: Solve for x
    x = 40,641.53/196.40
  6. Step 6: Final answer
    x = 206.93

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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.