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Finding the Fourth Proportional to 182.35, 252.10 and 141.04

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Solution

The fourth proportional to 182.35, 252.10 and 141.04 is: 194.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.35 : 252.10 = 141.04 : x
  2. Step 2: Convert to fraction form
    182.35/252.10 = 141.04/x
  3. Step 3: Cross multiply
    182.35x = 252.10 × 141.04
  4. Step 4: Simplify right side
    182.35x = 35,556.68
  5. Step 5: Solve for x
    x = 35,556.68/182.35
  6. Step 6: Final answer
    x = 194.99

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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.