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Finding the Fourth Proportional to 294.56, 443.60 and 222.92

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Solution

The fourth proportional to 294.56, 443.60 and 222.92 is: 335.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.56 : 443.60 = 222.92 : x
  2. Step 2: Convert to fraction form
    294.56/443.60 = 222.92/x
  3. Step 3: Cross multiply
    294.56x = 443.60 × 222.92
  4. Step 4: Simplify right side
    294.56x = 98,887.31
  5. Step 5: Solve for x
    x = 98,887.31/294.56
  6. Step 6: Final answer
    x = 335.71

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.