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Finding the Fourth Proportional to 182.70, 252.11 and 112.76

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Solution

The fourth proportional to 182.70, 252.11 and 112.76 is: 155.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.70 : 252.11 = 112.76 : x
  2. Step 2: Convert to fraction form
    182.70/252.11 = 112.76/x
  3. Step 3: Cross multiply
    182.70x = 252.11 × 112.76
  4. Step 4: Simplify right side
    182.70x = 28,426.10
  5. Step 5: Solve for x
    x = 28,426.10/182.70
  6. Step 6: Final answer
    x = 155.59

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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.