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Finding the Fourth Proportional to 182.54, 272.67 and 136.64

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Solution

The fourth proportional to 182.54, 272.67 and 136.64 is: 204.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.54 : 272.67 = 136.64 : x
  2. Step 2: Convert to fraction form
    182.54/272.67 = 136.64/x
  3. Step 3: Cross multiply
    182.54x = 272.67 × 136.64
  4. Step 4: Simplify right side
    182.54x = 37,257.63
  5. Step 5: Solve for x
    x = 37,257.63/182.54
  6. Step 6: Final answer
    x = 204.11

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.