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Finding the Fourth Proportional to 440.38, 660.83 and 166.66

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Solution

The fourth proportional to 440.38, 660.83 and 166.66 is: 250.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    440.38 : 660.83 = 166.66 : x
  2. Step 2: Convert to fraction form
    440.38/660.83 = 166.66/x
  3. Step 3: Cross multiply
    440.38x = 660.83 × 166.66
  4. Step 4: Simplify right side
    440.38x = 110,133.93
  5. Step 5: Solve for x
    x = 110,133.93/440.38
  6. Step 6: Final answer
    x = 250.09

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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.