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Finding the Fourth Proportional to 490.55, 735.62 and 165.87

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Solution

The fourth proportional to 490.55, 735.62 and 165.87 is: 248.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.55 : 735.62 = 165.87 : x
  2. Step 2: Convert to fraction form
    490.55/735.62 = 165.87/x
  3. Step 3: Cross multiply
    490.55x = 735.62 × 165.87
  4. Step 4: Simplify right side
    490.55x = 122,016.46
  5. Step 5: Solve for x
    x = 122,016.46/490.55
  6. Step 6: Final answer
    x = 248.74

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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.