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Finding the Fourth Proportional to 445.21, 667.90 and 185.07

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Solution

The fourth proportional to 445.21, 667.90 and 185.07 is: 277.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.21 : 667.90 = 185.07 : x
  2. Step 2: Convert to fraction form
    445.21/667.90 = 185.07/x
  3. Step 3: Cross multiply
    445.21x = 667.90 × 185.07
  4. Step 4: Simplify right side
    445.21x = 123,607.79
  5. Step 5: Solve for x
    x = 123,607.79/445.21
  6. Step 6: Final answer
    x = 277.64

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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.