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Finding the Fourth Proportional to 187.41, 281.39 and 106.41

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Solution

The fourth proportional to 187.41, 281.39 and 106.41 is: 159.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.41 : 281.39 = 106.41 : x
  2. Step 2: Convert to fraction form
    187.41/281.39 = 106.41/x
  3. Step 3: Cross multiply
    187.41x = 281.39 × 106.41
  4. Step 4: Simplify right side
    187.41x = 29,942.18
  5. Step 5: Solve for x
    x = 29,942.18/187.41
  6. Step 6: Final answer
    x = 159.77

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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.