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Finding the Fourth Proportional to 196.71, 271.26 and 159.72

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Solution

The fourth proportional to 196.71, 271.26 and 159.72 is: 220.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.71 : 271.26 = 159.72 : x
  2. Step 2: Convert to fraction form
    196.71/271.26 = 159.72/x
  3. Step 3: Cross multiply
    196.71x = 271.26 × 159.72
  4. Step 4: Simplify right side
    196.71x = 43,325.65
  5. Step 5: Solve for x
    x = 43,325.65/196.71
  6. Step 6: Final answer
    x = 220.25

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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.