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Finding the Fourth Proportional to 440.60, 660.94 and 166.70

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Solution

The fourth proportional to 440.60, 660.94 and 166.70 is: 250.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    440.60 : 660.94 = 166.70 : x
  2. Step 2: Convert to fraction form
    440.60/660.94 = 166.70/x
  3. Step 3: Cross multiply
    440.60x = 660.94 × 166.70
  4. Step 4: Simplify right side
    440.60x = 110,178.70
  5. Step 5: Solve for x
    x = 110,178.70/440.60
  6. Step 6: Final answer
    x = 250.07

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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.