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Finding the Fourth Proportional to 182.56, 251.86 and 108.88

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Solution

The fourth proportional to 182.56, 251.86 and 108.88 is: 150.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.56 : 251.86 = 108.88 : x
  2. Step 2: Convert to fraction form
    182.56/251.86 = 108.88/x
  3. Step 3: Cross multiply
    182.56x = 251.86 × 108.88
  4. Step 4: Simplify right side
    182.56x = 27,422.52
  5. Step 5: Solve for x
    x = 27,422.52/182.56
  6. Step 6: Final answer
    x = 150.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.