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Finding the Fourth Proportional to 187.41, 281.41 and 122.83

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Solution

The fourth proportional to 187.41, 281.41 and 122.83 is: 184.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.41 : 281.41 = 122.83 : x
  2. Step 2: Convert to fraction form
    187.41/281.41 = 122.83/x
  3. Step 3: Cross multiply
    187.41x = 281.41 × 122.83
  4. Step 4: Simplify right side
    187.41x = 34,564.05
  5. Step 5: Solve for x
    x = 34,564.05/187.41
  6. Step 6: Final answer
    x = 184.43

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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.