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Finding the Fourth Proportional to 344.01, 474.76 and 196.66

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Solution

The fourth proportional to 344.01, 474.76 and 196.66 is: 271.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    344.01 : 474.76 = 196.66 : x
  2. Step 2: Convert to fraction form
    344.01/474.76 = 196.66/x
  3. Step 3: Cross multiply
    344.01x = 474.76 × 196.66
  4. Step 4: Simplify right side
    344.01x = 93,367.14
  5. Step 5: Solve for x
    x = 93,367.14/344.01
  6. Step 6: Final answer
    x = 271.41

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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.