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Finding the Fourth Proportional to 490.66, 735.51 and 165.81

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Solution

The fourth proportional to 490.66, 735.51 and 165.81 is: 248.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.66 : 735.51 = 165.81 : x
  2. Step 2: Convert to fraction form
    490.66/735.51 = 165.81/x
  3. Step 3: Cross multiply
    490.66x = 735.51 × 165.81
  4. Step 4: Simplify right side
    490.66x = 121,958.29
  5. Step 5: Solve for x
    x = 121,958.29/490.66
  6. Step 6: Final answer
    x = 248.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.