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Finding the Fourth Proportional to 196.24, 271.20 and 176.44

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Solution

The fourth proportional to 196.24, 271.20 and 176.44 is: 243.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.24 : 271.20 = 176.44 : x
  2. Step 2: Convert to fraction form
    196.24/271.20 = 176.44/x
  3. Step 3: Cross multiply
    196.24x = 271.20 × 176.44
  4. Step 4: Simplify right side
    196.24x = 47,850.53
  5. Step 5: Solve for x
    x = 47,850.53/196.24
  6. Step 6: Final answer
    x = 243.84

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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.