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Finding the Fourth Proportional to 294.07, 441.09 and 111.46

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Solution

The fourth proportional to 294.07, 441.09 and 111.46 is: 167.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.07 : 441.09 = 111.46 : x
  2. Step 2: Convert to fraction form
    294.07/441.09 = 111.46/x
  3. Step 3: Cross multiply
    294.07x = 441.09 × 111.46
  4. Step 4: Simplify right side
    294.07x = 49,163.89
  5. Step 5: Solve for x
    x = 49,163.89/294.07
  6. Step 6: Final answer
    x = 167.18

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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.