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Finding the Fourth Proportional to 445.97, 669.09 and 185.93

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Solution

The fourth proportional to 445.97, 669.09 and 185.93 is: 278.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.97 : 669.09 = 185.93 : x
  2. Step 2: Convert to fraction form
    445.97/669.09 = 185.93/x
  3. Step 3: Cross multiply
    445.97x = 669.09 × 185.93
  4. Step 4: Simplify right side
    445.97x = 124,399.63
  5. Step 5: Solve for x
    x = 124,399.63/445.97
  6. Step 6: Final answer
    x = 278.94

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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.