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Finding the Fourth Proportional to 182.45, 252.01 and 141.14

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Solution

The fourth proportional to 182.45, 252.01 and 141.14 is: 194.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.45 : 252.01 = 141.14 : x
  2. Step 2: Convert to fraction form
    182.45/252.01 = 141.14/x
  3. Step 3: Cross multiply
    182.45x = 252.01 × 141.14
  4. Step 4: Simplify right side
    182.45x = 35,569.50
  5. Step 5: Solve for x
    x = 35,569.50/182.45
  6. Step 6: Final answer
    x = 194.95

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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.