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Finding the Fourth Proportional to 496.15, 743.70 and 187.87

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Solution

The fourth proportional to 496.15, 743.70 and 187.87 is: 281.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.15 : 743.70 = 187.87 : x
  2. Step 2: Convert to fraction form
    496.15/743.70 = 187.87/x
  3. Step 3: Cross multiply
    496.15x = 743.70 × 187.87
  4. Step 4: Simplify right side
    496.15x = 139,717.06
  5. Step 5: Solve for x
    x = 139,717.06/496.15
  6. Step 6: Final answer
    x = 281.60

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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.