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Finding the Fourth Proportional to 275.86, 380.74 and 206.27

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Solution

The fourth proportional to 275.86, 380.74 and 206.27 is: 284.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.86 : 380.74 = 206.27 : x
  2. Step 2: Convert to fraction form
    275.86/380.74 = 206.27/x
  3. Step 3: Cross multiply
    275.86x = 380.74 × 206.27
  4. Step 4: Simplify right side
    275.86x = 78,535.24
  5. Step 5: Solve for x
    x = 78,535.24/275.86
  6. Step 6: Final answer
    x = 284.69

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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.