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Finding the Fourth Proportional to 440.38, 660.80 and 166.51

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Solution

The fourth proportional to 440.38, 660.80 and 166.51 is: 249.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    440.38 : 660.80 = 166.51 : x
  2. Step 2: Convert to fraction form
    440.38/660.80 = 166.51/x
  3. Step 3: Cross multiply
    440.38x = 660.80 × 166.51
  4. Step 4: Simplify right side
    440.38x = 110,029.81
  5. Step 5: Solve for x
    x = 110,029.81/440.38
  6. Step 6: Final answer
    x = 249.85

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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.