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Finding the Fourth Proportional to 490.58, 735.88 and 165.95

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Solution

The fourth proportional to 490.58, 735.88 and 165.95 is: 248.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.58 : 735.88 = 165.95 : x
  2. Step 2: Convert to fraction form
    490.58/735.88 = 165.95/x
  3. Step 3: Cross multiply
    490.58x = 735.88 × 165.95
  4. Step 4: Simplify right side
    490.58x = 122,119.29
  5. Step 5: Solve for x
    x = 122,119.29/490.58
  6. Step 6: Final answer
    x = 248.93

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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.