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Finding the Fourth Proportional to 494.36, 741.49 and 169.75

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Solution

The fourth proportional to 494.36, 741.49 and 169.75 is: 254.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.36 : 741.49 = 169.75 : x
  2. Step 2: Convert to fraction form
    494.36/741.49 = 169.75/x
  3. Step 3: Cross multiply
    494.36x = 741.49 × 169.75
  4. Step 4: Simplify right side
    494.36x = 125,867.93
  5. Step 5: Solve for x
    x = 125,867.93/494.36
  6. Step 6: Final answer
    x = 254.61

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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.