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Finding the Fourth Proportional to 294.63, 441.93 and 166.65

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Solution

The fourth proportional to 294.63, 441.93 and 166.65 is: 249.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.63 : 441.93 = 166.65 : x
  2. Step 2: Convert to fraction form
    294.63/441.93 = 166.65/x
  3. Step 3: Cross multiply
    294.63x = 441.93 × 166.65
  4. Step 4: Simplify right side
    294.63x = 73,647.63
  5. Step 5: Solve for x
    x = 73,647.63/294.63
  6. Step 6: Final answer
    x = 249.97

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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.