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Finding the Fourth Proportional to 494.93, 742.41 and 165.87

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Solution

The fourth proportional to 494.93, 742.41 and 165.87 is: 248.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.93 : 742.41 = 165.87 : x
  2. Step 2: Convert to fraction form
    494.93/742.41 = 165.87/x
  3. Step 3: Cross multiply
    494.93x = 742.41 × 165.87
  4. Step 4: Simplify right side
    494.93x = 123,143.55
  5. Step 5: Solve for x
    x = 123,143.55/494.93
  6. Step 6: Final answer
    x = 248.81

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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.