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Finding the Fourth Proportional to 490.15, 735.29 and 160.98

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Solution

The fourth proportional to 490.15, 735.29 and 160.98 is: 241.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.15 : 735.29 = 160.98 : x
  2. Step 2: Convert to fraction form
    490.15/735.29 = 160.98/x
  3. Step 3: Cross multiply
    490.15x = 735.29 × 160.98
  4. Step 4: Simplify right side
    490.15x = 118,366.98
  5. Step 5: Solve for x
    x = 118,366.98/490.15
  6. Step 6: Final answer
    x = 241.49

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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.