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Finding the Fourth Proportional to 275.64, 380.27 and 205.74

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Solution

The fourth proportional to 275.64, 380.27 and 205.74 is: 283.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.64 : 380.27 = 205.74 : x
  2. Step 2: Convert to fraction form
    275.64/380.27 = 205.74/x
  3. Step 3: Cross multiply
    275.64x = 380.27 × 205.74
  4. Step 4: Simplify right side
    275.64x = 78,236.75
  5. Step 5: Solve for x
    x = 78,236.75/275.64
  6. Step 6: Final answer
    x = 283.84

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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.