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Finding the Fourth Proportional to 490.95, 735.93 and 166.10

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Solution

The fourth proportional to 490.95, 735.93 and 166.10 is: 248.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.95 : 735.93 = 166.10 : x
  2. Step 2: Convert to fraction form
    490.95/735.93 = 166.10/x
  3. Step 3: Cross multiply
    490.95x = 735.93 × 166.10
  4. Step 4: Simplify right side
    490.95x = 122,234.29
  5. Step 5: Solve for x
    x = 122,234.29/490.95
  6. Step 6: Final answer
    x = 248.98

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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.