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Finding the Fourth Proportional to 294.70, 440.97 and 166.54

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Solution

The fourth proportional to 294.70, 440.97 and 166.54 is: 249.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.70 : 440.97 = 166.54 : x
  2. Step 2: Convert to fraction form
    294.70/440.97 = 166.54/x
  3. Step 3: Cross multiply
    294.70x = 440.97 × 166.54
  4. Step 4: Simplify right side
    294.70x = 73,439.14
  5. Step 5: Solve for x
    x = 73,439.14/294.70
  6. Step 6: Final answer
    x = 249.20

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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.