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Finding the Fourth Proportional to 182.48, 252.04 and 130.96

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Solution

The fourth proportional to 182.48, 252.04 and 130.96 is: 180.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.48 : 252.04 = 130.96 : x
  2. Step 2: Convert to fraction form
    182.48/252.04 = 130.96/x
  3. Step 3: Cross multiply
    182.48x = 252.04 × 130.96
  4. Step 4: Simplify right side
    182.48x = 33,007.16
  5. Step 5: Solve for x
    x = 33,007.16/182.48
  6. Step 6: Final answer
    x = 180.88

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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.