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Finding the Fourth Proportional to 294.45, 441.75 and 111.85

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Solution

The fourth proportional to 294.45, 441.75 and 111.85 is: 167.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.45 : 441.75 = 111.85 : x
  2. Step 2: Convert to fraction form
    294.45/441.75 = 111.85/x
  3. Step 3: Cross multiply
    294.45x = 441.75 × 111.85
  4. Step 4: Simplify right side
    294.45x = 49,409.74
  5. Step 5: Solve for x
    x = 49,409.74/294.45
  6. Step 6: Final answer
    x = 167.80

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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.