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Finding the Fourth Proportional to 490.50, 735.71 and 143.83

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Solution

The fourth proportional to 490.50, 735.71 and 143.83 is: 215.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.50 : 735.71 = 143.83 : x
  2. Step 2: Convert to fraction form
    490.50/735.71 = 143.83/x
  3. Step 3: Cross multiply
    490.50x = 735.71 × 143.83
  4. Step 4: Simplify right side
    490.50x = 105,817.17
  5. Step 5: Solve for x
    x = 105,817.17/490.50
  6. Step 6: Final answer
    x = 215.73

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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.