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Finding the Fourth Proportional to 294.77, 407 and 196.73

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Solution

The fourth proportional to 294.77, 407 and 196.73 is: 271.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.77 : 407 = 196.73 : x
  2. Step 2: Convert to fraction form
    294.77/407 = 196.73/x
  3. Step 3: Cross multiply
    294.77x = 407 × 196.73
  4. Step 4: Simplify right side
    294.77x = 80,069.11
  5. Step 5: Solve for x
    x = 80,069.11/294.77
  6. Step 6: Final answer
    x = 271.63

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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.