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Finding the Fourth Proportional to 495.57, 743.40 and 166.49

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Solution

The fourth proportional to 495.57, 743.40 and 166.49 is: 249.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.57 : 743.40 = 166.49 : x
  2. Step 2: Convert to fraction form
    495.57/743.40 = 166.49/x
  3. Step 3: Cross multiply
    495.57x = 743.40 × 166.49
  4. Step 4: Simplify right side
    495.57x = 123,768.67
  5. Step 5: Solve for x
    x = 123,768.67/495.57
  6. Step 6: Final answer
    x = 249.75

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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.