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Finding the Fourth Proportional to 445.78, 668.42 and 185.50

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Solution

The fourth proportional to 445.78, 668.42 and 185.50 is: 278.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.78 : 668.42 = 185.50 : x
  2. Step 2: Convert to fraction form
    445.78/668.42 = 185.50/x
  3. Step 3: Cross multiply
    445.78x = 668.42 × 185.50
  4. Step 4: Simplify right side
    445.78x = 123,989.31
  5. Step 5: Solve for x
    x = 123,989.31/445.78
  6. Step 6: Final answer
    x = 278.14

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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.