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Finding the Fourth Proportional to 196.71, 271.47 and 153.11

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Solution

The fourth proportional to 196.71, 271.47 and 153.11 is: 211.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.71 : 271.47 = 153.11 : x
  2. Step 2: Convert to fraction form
    196.71/271.47 = 153.11/x
  3. Step 3: Cross multiply
    196.71x = 271.47 × 153.11
  4. Step 4: Simplify right side
    196.71x = 41,563.41
  5. Step 5: Solve for x
    x = 41,563.41/196.71
  6. Step 6: Final answer
    x = 211.29

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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.