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Finding the Fourth Proportional to 496, 743.88 and 149.25

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Solution

The fourth proportional to 496, 743.88 and 149.25 is: 223.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    496 : 743.88 = 149.25 : x
  2. Step 2: Convert to fraction form
    496/743.88 = 149.25/x
  3. Step 3: Cross multiply
    496x = 743.88 × 149.25
  4. Step 4: Simplify right side
    496x = 111,024.09
  5. Step 5: Solve for x
    x = 111,024.09/496
  6. Step 6: Final answer
    x = 223.84

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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.