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Finding the Fourth Proportional to 494.94, 742.17 and 165.77

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Solution

The fourth proportional to 494.94, 742.17 and 165.77 is: 248.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.94 : 742.17 = 165.77 : x
  2. Step 2: Convert to fraction form
    494.94/742.17 = 165.77/x
  3. Step 3: Cross multiply
    494.94x = 742.17 × 165.77
  4. Step 4: Simplify right side
    494.94x = 123,027.97
  5. Step 5: Solve for x
    x = 123,027.97/494.94
  6. Step 6: Final answer
    x = 248.57

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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.