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Finding the Fourth Proportional to 495.11, 742.69 and 166.03

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Solution

The fourth proportional to 495.11, 742.69 and 166.03 is: 249.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.11 : 742.69 = 166.03 : x
  2. Step 2: Convert to fraction form
    495.11/742.69 = 166.03/x
  3. Step 3: Cross multiply
    495.11x = 742.69 × 166.03
  4. Step 4: Simplify right side
    495.11x = 123,305.11
  5. Step 5: Solve for x
    x = 123,305.11/495.11
  6. Step 6: Final answer
    x = 249.05

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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.