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Finding the Fourth Proportional to 275.22, 379.71 and 205.38

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Solution

The fourth proportional to 275.22, 379.71 and 205.38 is: 283.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.22 : 379.71 = 205.38 : x
  2. Step 2: Convert to fraction form
    275.22/379.71 = 205.38/x
  3. Step 3: Cross multiply
    275.22x = 379.71 × 205.38
  4. Step 4: Simplify right side
    275.22x = 77,984.84
  5. Step 5: Solve for x
    x = 77,984.84/275.22
  6. Step 6: Final answer
    x = 283.35

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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.