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Finding the Fourth Proportional to 272.77, 409.08 and 180.50

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Solution

The fourth proportional to 272.77, 409.08 and 180.50 is: 270.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.77 : 409.08 = 180.50 : x
  2. Step 2: Convert to fraction form
    272.77/409.08 = 180.50/x
  3. Step 3: Cross multiply
    272.77x = 409.08 × 180.50
  4. Step 4: Simplify right side
    272.77x = 73,837.57
  5. Step 5: Solve for x
    x = 73,837.57/272.77
  6. Step 6: Final answer
    x = 270.70

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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.