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Finding the Fourth Proportional to 272.92, 376.64 and 213.98

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Solution

The fourth proportional to 272.92, 376.64 and 213.98 is: 295.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    272.92 : 376.64 = 213.98 : x
  2. Step 2: Convert to fraction form
    272.92/376.64 = 213.98/x
  3. Step 3: Cross multiply
    272.92x = 376.64 × 213.98
  4. Step 4: Simplify right side
    272.92x = 80,592.36
  5. Step 5: Solve for x
    x = 80,592.36/272.92
  6. Step 6: Final answer
    x = 295.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.