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Finding the Fourth Proportional to 182.76, 252.15 and 127.47

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Solution

The fourth proportional to 182.76, 252.15 and 127.47 is: 175.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.76 : 252.15 = 127.47 : x
  2. Step 2: Convert to fraction form
    182.76/252.15 = 127.47/x
  3. Step 3: Cross multiply
    182.76x = 252.15 × 127.47
  4. Step 4: Simplify right side
    182.76x = 32,141.56
  5. Step 5: Solve for x
    x = 32,141.56/182.76
  6. Step 6: Final answer
    x = 175.87

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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.