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Finding the Fourth Proportional to 440.37, 660.69 and 166.48

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Solution

The fourth proportional to 440.37, 660.69 and 166.48 is: 249.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    440.37 : 660.69 = 166.48 : x
  2. Step 2: Convert to fraction form
    440.37/660.69 = 166.48/x
  3. Step 3: Cross multiply
    440.37x = 660.69 × 166.48
  4. Step 4: Simplify right side
    440.37x = 109,993.12
  5. Step 5: Solve for x
    x = 109,993.12/440.37
  6. Step 6: Final answer
    x = 249.78

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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.