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Finding the Fourth Proportional to 494.23, 741.42 and 169.51

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Solution

The fourth proportional to 494.23, 741.42 and 169.51 is: 254.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.23 : 741.42 = 169.51 : x
  2. Step 2: Convert to fraction form
    494.23/741.42 = 169.51/x
  3. Step 3: Cross multiply
    494.23x = 741.42 × 169.51
  4. Step 4: Simplify right side
    494.23x = 125,678.10
  5. Step 5: Solve for x
    x = 125,678.10/494.23
  6. Step 6: Final answer
    x = 254.29

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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.