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Finding the Fourth Proportional to 295.85, 443.68 and 166.05

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Solution

The fourth proportional to 295.85, 443.68 and 166.05 is: 249.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.85 : 443.68 = 166.05 : x
  2. Step 2: Convert to fraction form
    295.85/443.68 = 166.05/x
  3. Step 3: Cross multiply
    295.85x = 443.68 × 166.05
  4. Step 4: Simplify right side
    295.85x = 73,672.65
  5. Step 5: Solve for x
    x = 73,672.65/295.85
  6. Step 6: Final answer
    x = 249.02

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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.