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Finding the Fourth Proportional to 495.37, 742.79 and 166.19

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Solution

The fourth proportional to 495.37, 742.79 and 166.19 is: 249.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.37 : 742.79 = 166.19 : x
  2. Step 2: Convert to fraction form
    495.37/742.79 = 166.19/x
  3. Step 3: Cross multiply
    495.37x = 742.79 × 166.19
  4. Step 4: Simplify right side
    495.37x = 123,440.97
  5. Step 5: Solve for x
    x = 123,440.97/495.37
  6. Step 6: Final answer
    x = 249.19

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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.