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Finding the Fourth Proportional to 272.76, 409.06 and 128.44

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Solution

The fourth proportional to 272.76, 409.06 and 128.44 is: 192.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.76 : 409.06 = 128.44 : x
  2. Step 2: Convert to fraction form
    272.76/409.06 = 128.44/x
  3. Step 3: Cross multiply
    272.76x = 409.06 × 128.44
  4. Step 4: Simplify right side
    272.76x = 52,539.67
  5. Step 5: Solve for x
    x = 52,539.67/272.76
  6. Step 6: Final answer
    x = 192.62

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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.