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Finding the Fourth Proportional to 490.10, 735.06 and 165.42

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Solution

The fourth proportional to 490.10, 735.06 and 165.42 is: 248.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.10 : 735.06 = 165.42 : x
  2. Step 2: Convert to fraction form
    490.10/735.06 = 165.42/x
  3. Step 3: Cross multiply
    490.10x = 735.06 × 165.42
  4. Step 4: Simplify right side
    490.10x = 121,593.63
  5. Step 5: Solve for x
    x = 121,593.63/490.10
  6. Step 6: Final answer
    x = 248.10

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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.