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Finding the Fourth Proportional to 275.56, 379.64 and 213.17

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Solution

The fourth proportional to 275.56, 379.64 and 213.17 is: 293.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.56 : 379.64 = 213.17 : x
  2. Step 2: Convert to fraction form
    275.56/379.64 = 213.17/x
  3. Step 3: Cross multiply
    275.56x = 379.64 × 213.17
  4. Step 4: Simplify right side
    275.56x = 80,927.86
  5. Step 5: Solve for x
    x = 80,927.86/275.56
  6. Step 6: Final answer
    x = 293.69

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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.