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Finding the Fourth Proportional to 495.35, 742.92 and 166.23

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Solution

The fourth proportional to 495.35, 742.92 and 166.23 is: 249.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.35 : 742.92 = 166.23 : x
  2. Step 2: Convert to fraction form
    495.35/742.92 = 166.23/x
  3. Step 3: Cross multiply
    495.35x = 742.92 × 166.23
  4. Step 4: Simplify right side
    495.35x = 123,495.59
  5. Step 5: Solve for x
    x = 123,495.59/495.35
  6. Step 6: Final answer
    x = 249.31

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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.