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Finding the Fourth Proportional to 275.58, 379.87 and 216.43

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Solution

The fourth proportional to 275.58, 379.87 and 216.43 is: 298.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.58 : 379.87 = 216.43 : x
  2. Step 2: Convert to fraction form
    275.58/379.87 = 216.43/x
  3. Step 3: Cross multiply
    275.58x = 379.87 × 216.43
  4. Step 4: Simplify right side
    275.58x = 82,213.77
  5. Step 5: Solve for x
    x = 82,213.77/275.58
  6. Step 6: Final answer
    x = 298.33

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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.