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Finding the Fourth Proportional to 182.80, 252.33 and 117.33

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Solution

The fourth proportional to 182.80, 252.33 and 117.33 is: 161.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.80 : 252.33 = 117.33 : x
  2. Step 2: Convert to fraction form
    182.80/252.33 = 117.33/x
  3. Step 3: Cross multiply
    182.80x = 252.33 × 117.33
  4. Step 4: Simplify right side
    182.80x = 29,605.88
  5. Step 5: Solve for x
    x = 29,605.88/182.80
  6. Step 6: Final answer
    x = 161.96

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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.