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Finding the Fourth Proportional to 272.64, 409 and 80.24

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Solution

The fourth proportional to 272.64, 409 and 80.24 is: 120.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.64 : 409 = 80.24 : x
  2. Step 2: Convert to fraction form
    272.64/409 = 80.24/x
  3. Step 3: Cross multiply
    272.64x = 409 × 80.24
  4. Step 4: Simplify right side
    272.64x = 32,818.16
  5. Step 5: Solve for x
    x = 32,818.16/272.64
  6. Step 6: Final answer
    x = 120.37

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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.