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Finding the Fourth Proportional to 272.88, 409.20 and 200.64

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Solution

The fourth proportional to 272.88, 409.20 and 200.64 is: 300.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.88 : 409.20 = 200.64 : x
  2. Step 2: Convert to fraction form
    272.88/409.20 = 200.64/x
  3. Step 3: Cross multiply
    272.88x = 409.20 × 200.64
  4. Step 4: Simplify right side
    272.88x = 82,101.89
  5. Step 5: Solve for x
    x = 82,101.89/272.88
  6. Step 6: Final answer
    x = 300.87

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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.