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Finding the Fourth Proportional to 490.16, 735.26 and 143.52

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Solution

The fourth proportional to 490.16, 735.26 and 143.52 is: 215.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.16 : 735.26 = 143.52 : x
  2. Step 2: Convert to fraction form
    490.16/735.26 = 143.52/x
  3. Step 3: Cross multiply
    490.16x = 735.26 × 143.52
  4. Step 4: Simplify right side
    490.16x = 105,524.52
  5. Step 5: Solve for x
    x = 105,524.52/490.16
  6. Step 6: Final answer
    x = 215.29

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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.