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Finding the Fourth Proportional to 496.23, 744.31 and 149.57

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Solution

The fourth proportional to 496.23, 744.31 and 149.57 is: 224.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.23 : 744.31 = 149.57 : x
  2. Step 2: Convert to fraction form
    496.23/744.31 = 149.57/x
  3. Step 3: Cross multiply
    496.23x = 744.31 × 149.57
  4. Step 4: Simplify right side
    496.23x = 111,327.27
  5. Step 5: Solve for x
    x = 111,327.27/496.23
  6. Step 6: Final answer
    x = 224.35

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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.