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Finding the Fourth Proportional to 272.83, 409.76 and 170.31

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Solution

The fourth proportional to 272.83, 409.76 and 170.31 is: 255.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.83 : 409.76 = 170.31 : x
  2. Step 2: Convert to fraction form
    272.83/409.76 = 170.31/x
  3. Step 3: Cross multiply
    272.83x = 409.76 × 170.31
  4. Step 4: Simplify right side
    272.83x = 69,784.60
  5. Step 5: Solve for x
    x = 69,784.60/272.83
  6. Step 6: Final answer
    x = 255.78

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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.