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Finding the Fourth Proportional to 445.16, 667.85 and 185.22

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Solution

The fourth proportional to 445.16, 667.85 and 185.22 is: 277.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.16 : 667.85 = 185.22 : x
  2. Step 2: Convert to fraction form
    445.16/667.85 = 185.22/x
  3. Step 3: Cross multiply
    445.16x = 667.85 × 185.22
  4. Step 4: Simplify right side
    445.16x = 123,698.25
  5. Step 5: Solve for x
    x = 123,698.25/445.16
  6. Step 6: Final answer
    x = 277.88

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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.