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Finding the Fourth Proportional to 187.84, 281.31 and 181.81

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Solution

The fourth proportional to 187.84, 281.31 and 181.81 is: 272.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    187.84 : 281.31 = 181.81 : x
  2. Step 2: Convert to fraction form
    187.84/281.31 = 181.81/x
  3. Step 3: Cross multiply
    187.84x = 281.31 × 181.81
  4. Step 4: Simplify right side
    187.84x = 51,144.97
  5. Step 5: Solve for x
    x = 51,144.97/187.84
  6. Step 6: Final answer
    x = 272.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.