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Finding the Fourth Proportional to 494.44, 741.57 and 165.35

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Solution

The fourth proportional to 494.44, 741.57 and 165.35 is: 247.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.44 : 741.57 = 165.35 : x
  2. Step 2: Convert to fraction form
    494.44/741.57 = 165.35/x
  3. Step 3: Cross multiply
    494.44x = 741.57 × 165.35
  4. Step 4: Simplify right side
    494.44x = 122,618.60
  5. Step 5: Solve for x
    x = 122,618.60/494.44
  6. Step 6: Final answer
    x = 247.99

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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.