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Finding the Fourth Proportional to 187.74, 281.37 and 96.24

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Solution

The fourth proportional to 187.74, 281.37 and 96.24 is: 144.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.74 : 281.37 = 96.24 : x
  2. Step 2: Convert to fraction form
    187.74/281.37 = 96.24/x
  3. Step 3: Cross multiply
    187.74x = 281.37 × 96.24
  4. Step 4: Simplify right side
    187.74x = 27,079.05
  5. Step 5: Solve for x
    x = 27,079.05/187.74
  6. Step 6: Final answer
    x = 144.24

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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.