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Finding the Fourth Proportional to 196.34, 271.00 and 113.47

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Solution

The fourth proportional to 196.34, 271.00 and 113.47 is: 156.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.34 : 271.00 = 113.47 : x
  2. Step 2: Convert to fraction form
    196.34/271.00 = 113.47/x
  3. Step 3: Cross multiply
    196.34x = 271.00 × 113.47
  4. Step 4: Simplify right side
    196.34x = 30,749.20
  5. Step 5: Solve for x
    x = 30,749.20/196.34
  6. Step 6: Final answer
    x = 156.62

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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.