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Finding the Fourth Proportional to 295.89, 443.97 and 186.46

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Solution

The fourth proportional to 295.89, 443.97 and 186.46 is: 279.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.89 : 443.97 = 186.46 : x
  2. Step 2: Convert to fraction form
    295.89/443.97 = 186.46/x
  3. Step 3: Cross multiply
    295.89x = 443.97 × 186.46
  4. Step 4: Simplify right side
    295.89x = 82,782.65
  5. Step 5: Solve for x
    x = 82,782.65/295.89
  6. Step 6: Final answer
    x = 279.78

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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.