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Finding the Fourth Proportional to 294.20, 405.98 and 161.41

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Solution

The fourth proportional to 294.20, 405.98 and 161.41 is: 222.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.20 : 405.98 = 161.41 : x
  2. Step 2: Convert to fraction form
    294.20/405.98 = 161.41/x
  3. Step 3: Cross multiply
    294.20x = 405.98 × 161.41
  4. Step 4: Simplify right side
    294.20x = 65,529.23
  5. Step 5: Solve for x
    x = 65,529.23/294.20
  6. Step 6: Final answer
    x = 222.74

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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.