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Finding the Fourth Proportional to 490.25, 735.38 and 148.25

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Solution

The fourth proportional to 490.25, 735.38 and 148.25 is: 222.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.25 : 735.38 = 148.25 : x
  2. Step 2: Convert to fraction form
    490.25/735.38 = 148.25/x
  3. Step 3: Cross multiply
    490.25x = 735.38 × 148.25
  4. Step 4: Simplify right side
    490.25x = 109,020.09
  5. Step 5: Solve for x
    x = 109,020.09/490.25
  6. Step 6: Final answer
    x = 222.38

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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.