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Finding the Fourth Proportional to 293.98, 440.98 and 166.54

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Solution

The fourth proportional to 293.98, 440.98 and 166.54 is: 249.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.98 : 440.98 = 166.54 : x
  2. Step 2: Convert to fraction form
    293.98/440.98 = 166.54/x
  3. Step 3: Cross multiply
    293.98x = 440.98 × 166.54
  4. Step 4: Simplify right side
    293.98x = 73,440.81
  5. Step 5: Solve for x
    x = 73,440.81/293.98
  6. Step 6: Final answer
    x = 249.82

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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.