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Finding the Fourth Proportional to 185.88, 279.03 and 181.23

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Solution

The fourth proportional to 185.88, 279.03 and 181.23 is: 272.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.88 : 279.03 = 181.23 : x
  2. Step 2: Convert to fraction form
    185.88/279.03 = 181.23/x
  3. Step 3: Cross multiply
    185.88x = 279.03 × 181.23
  4. Step 4: Simplify right side
    185.88x = 50,568.61
  5. Step 5: Solve for x
    x = 50,568.61/185.88
  6. Step 6: Final answer
    x = 272.05

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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.