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Finding the Fourth Proportional to 272.10, 407.97 and 180.78

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Solution

The fourth proportional to 272.10, 407.97 and 180.78 is: 271.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.10 : 407.97 = 180.78 : x
  2. Step 2: Convert to fraction form
    272.10/407.97 = 180.78/x
  3. Step 3: Cross multiply
    272.10x = 407.97 × 180.78
  4. Step 4: Simplify right side
    272.10x = 73,752.82
  5. Step 5: Solve for x
    x = 73,752.82/272.10
  6. Step 6: Final answer
    x = 271.05

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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.