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Finding the Fourth Proportional to 494.30, 741.49 and 165.23

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Solution

The fourth proportional to 494.30, 741.49 and 165.23 is: 247.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.30 : 741.49 = 165.23 : x
  2. Step 2: Convert to fraction form
    494.30/741.49 = 165.23/x
  3. Step 3: Cross multiply
    494.30x = 741.49 × 165.23
  4. Step 4: Simplify right side
    494.30x = 122,511.86
  5. Step 5: Solve for x
    x = 122,511.86/494.30
  6. Step 6: Final answer
    x = 247.85

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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.