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Finding the Fourth Proportional to 182.06, 272.70 and 136.34

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Solution

The fourth proportional to 182.06, 272.70 and 136.34 is: 204.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.06 : 272.70 = 136.34 : x
  2. Step 2: Convert to fraction form
    182.06/272.70 = 136.34/x
  3. Step 3: Cross multiply
    182.06x = 272.70 × 136.34
  4. Step 4: Simplify right side
    182.06x = 37,179.58
  5. Step 5: Solve for x
    x = 37,179.58/182.06
  6. Step 6: Final answer
    x = 204.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.