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Finding the Fourth Proportional to 272.09, 407.52 and 180.56

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Solution

The fourth proportional to 272.09, 407.52 and 180.56 is: 270.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.09 : 407.52 = 180.56 : x
  2. Step 2: Convert to fraction form
    272.09/407.52 = 180.56/x
  3. Step 3: Cross multiply
    272.09x = 407.52 × 180.56
  4. Step 4: Simplify right side
    272.09x = 73,579.77
  5. Step 5: Solve for x
    x = 73,579.77/272.09
  6. Step 6: Final answer
    x = 270.43

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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.