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Finding the Fourth Proportional to 275.04, 379.96 and 213.02

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Solution

The fourth proportional to 275.04, 379.96 and 213.02 is: 294.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.04 : 379.96 = 213.02 : x
  2. Step 2: Convert to fraction form
    275.04/379.96 = 213.02/x
  3. Step 3: Cross multiply
    275.04x = 379.96 × 213.02
  4. Step 4: Simplify right side
    275.04x = 80,939.08
  5. Step 5: Solve for x
    x = 80,939.08/275.04
  6. Step 6: Final answer
    x = 294.28

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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.