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Finding the Fourth Proportional to 294.23, 441.21 and 111.61

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Solution

The fourth proportional to 294.23, 441.21 and 111.61 is: 167.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.23 : 441.21 = 111.61 : x
  2. Step 2: Convert to fraction form
    294.23/441.21 = 111.61/x
  3. Step 3: Cross multiply
    294.23x = 441.21 × 111.61
  4. Step 4: Simplify right side
    294.23x = 49,244.42
  5. Step 5: Solve for x
    x = 49,244.42/294.23
  6. Step 6: Final answer
    x = 167.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.