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Finding the Fourth Proportional to 187.46, 281.41 and 149.39

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Solution

The fourth proportional to 187.46, 281.41 and 149.39 is: 224.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.46 : 281.41 = 149.39 : x
  2. Step 2: Convert to fraction form
    187.46/281.41 = 149.39/x
  3. Step 3: Cross multiply
    187.46x = 281.41 × 149.39
  4. Step 4: Simplify right side
    187.46x = 42,037.69
  5. Step 5: Solve for x
    x = 42,037.69/187.46
  6. Step 6: Final answer
    x = 224.25

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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.