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Finding the Fourth Proportional to 294.45, 441.62 and 111.80

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Solution

The fourth proportional to 294.45, 441.62 and 111.80 is: 167.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.45 : 441.62 = 111.80 : x
  2. Step 2: Convert to fraction form
    294.45/441.62 = 111.80/x
  3. Step 3: Cross multiply
    294.45x = 441.62 × 111.80
  4. Step 4: Simplify right side
    294.45x = 49,370.91
  5. Step 5: Solve for x
    x = 49,370.91/294.45
  6. Step 6: Final answer
    x = 167.67

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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.