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Finding the Fourth Proportional to 440.91, 660.84 and 166.82

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Solution

The fourth proportional to 440.91, 660.84 and 166.82 is: 250.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    440.91 : 660.84 = 166.82 : x
  2. Step 2: Convert to fraction form
    440.91/660.84 = 166.82/x
  3. Step 3: Cross multiply
    440.91x = 660.84 × 166.82
  4. Step 4: Simplify right side
    440.91x = 110,238.02
  5. Step 5: Solve for x
    x = 110,238.02/440.91
  6. Step 6: Final answer
    x = 250.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.