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Finding the Fourth Proportional to 490.29, 735.42 and 125.05

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Solution

The fourth proportional to 490.29, 735.42 and 125.05 is: 187.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.29 : 735.42 = 125.05 : x
  2. Step 2: Convert to fraction form
    490.29/735.42 = 125.05/x
  3. Step 3: Cross multiply
    490.29x = 735.42 × 125.05
  4. Step 4: Simplify right side
    490.29x = 91,960.59
  5. Step 5: Solve for x
    x = 91,960.59/490.29
  6. Step 6: Final answer
    x = 187.56

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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.