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Finding the Fourth Proportional to 182.95, 272.83 and 167.56

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Solution

The fourth proportional to 182.95, 272.83 and 167.56 is: 249.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.95 : 272.83 = 167.56 : x
  2. Step 2: Convert to fraction form
    182.95/272.83 = 167.56/x
  3. Step 3: Cross multiply
    182.95x = 272.83 × 167.56
  4. Step 4: Simplify right side
    182.95x = 45,715.39
  5. Step 5: Solve for x
    x = 45,715.39/182.95
  6. Step 6: Final answer
    x = 249.88

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.