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Finding the Fourth Proportional to 182.72, 252.23 and 117.26

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Solution

The fourth proportional to 182.72, 252.23 and 117.26 is: 161.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.72 : 252.23 = 117.26 : x
  2. Step 2: Convert to fraction form
    182.72/252.23 = 117.26/x
  3. Step 3: Cross multiply
    182.72x = 252.23 × 117.26
  4. Step 4: Simplify right side
    182.72x = 29,574.64
  5. Step 5: Solve for x
    x = 29,574.64/182.72
  6. Step 6: Final answer
    x = 161.86

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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.