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Finding the Fourth Proportional to 182.64, 252.12 and 116.31

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Solution

The fourth proportional to 182.64, 252.12 and 116.31 is: 160.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.64 : 252.12 = 116.31 : x
  2. Step 2: Convert to fraction form
    182.64/252.12 = 116.31/x
  3. Step 3: Cross multiply
    182.64x = 252.12 × 116.31
  4. Step 4: Simplify right side
    182.64x = 29,324.08
  5. Step 5: Solve for x
    x = 29,324.08/182.64
  6. Step 6: Final answer
    x = 160.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.