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Finding the Fourth Proportional to 187.98, 281.79 and 96.54

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Solution

The fourth proportional to 187.98, 281.79 and 96.54 is: 144.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.98 : 281.79 = 96.54 : x
  2. Step 2: Convert to fraction form
    187.98/281.79 = 96.54/x
  3. Step 3: Cross multiply
    187.98x = 281.79 × 96.54
  4. Step 4: Simplify right side
    187.98x = 27,204.01
  5. Step 5: Solve for x
    x = 27,204.01/187.98
  6. Step 6: Final answer
    x = 144.72

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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.