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Finding the Fourth Proportional to 496.20, 743.61 and 187.74

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Solution

The fourth proportional to 496.20, 743.61 and 187.74 is: 281.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.20 : 743.61 = 187.74 : x
  2. Step 2: Convert to fraction form
    496.20/743.61 = 187.74/x
  3. Step 3: Cross multiply
    496.20x = 743.61 × 187.74
  4. Step 4: Simplify right side
    496.20x = 139,605.34
  5. Step 5: Solve for x
    x = 139,605.34/496.20
  6. Step 6: Final answer
    x = 281.35

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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.