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Finding the Fourth Proportional to 227.11, 341.54 and 180.94

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Solution

The fourth proportional to 227.11, 341.54 and 180.94 is: 272.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    227.11 : 341.54 = 180.94 : x
  2. Step 2: Convert to fraction form
    227.11/341.54 = 180.94/x
  3. Step 3: Cross multiply
    227.11x = 341.54 × 180.94
  4. Step 4: Simplify right side
    227.11x = 61,797.34
  5. Step 5: Solve for x
    x = 61,797.34/227.11
  6. Step 6: Final answer
    x = 272.10

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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.