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Finding the Fourth Proportional to 494.13, 741.21 and 165.09

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Solution

The fourth proportional to 494.13, 741.21 and 165.09 is: 247.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.13 : 741.21 = 165.09 : x
  2. Step 2: Convert to fraction form
    494.13/741.21 = 165.09/x
  3. Step 3: Cross multiply
    494.13x = 741.21 × 165.09
  4. Step 4: Simplify right side
    494.13x = 122,366.36
  5. Step 5: Solve for x
    x = 122,366.36/494.13
  6. Step 6: Final answer
    x = 247.64

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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.