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Finding the Fourth Proportional to 490.65, 735.97 and 125.43

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Solution

The fourth proportional to 490.65, 735.97 and 125.43 is: 188.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.65 : 735.97 = 125.43 : x
  2. Step 2: Convert to fraction form
    490.65/735.97 = 125.43/x
  3. Step 3: Cross multiply
    490.65x = 735.97 × 125.43
  4. Step 4: Simplify right side
    490.65x = 92,312.72
  5. Step 5: Solve for x
    x = 92,312.72/490.65
  6. Step 6: Final answer
    x = 188.14

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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.