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Finding the Fourth Proportional to 182.00, 272.56 and 95.41

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Solution

The fourth proportional to 182.00, 272.56 and 95.41 is: 142.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.00 : 272.56 = 95.41 : x
  2. Step 2: Convert to fraction form
    182.00/272.56 = 95.41/x
  3. Step 3: Cross multiply
    182.00x = 272.56 × 95.41
  4. Step 4: Simplify right side
    182.00x = 26,003.81
  5. Step 5: Solve for x
    x = 26,003.81/182.00
  6. Step 6: Final answer
    x = 142.88

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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.