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Finding the Fourth Proportional to 265.85, 367.22 and 204.44

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Solution

The fourth proportional to 265.85, 367.22 and 204.44 is: 282.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.85 : 367.22 = 204.44 : x
  2. Step 2: Convert to fraction form
    265.85/367.22 = 204.44/x
  3. Step 3: Cross multiply
    265.85x = 367.22 × 204.44
  4. Step 4: Simplify right side
    265.85x = 75,073.74
  5. Step 5: Solve for x
    x = 75,073.74/265.85
  6. Step 6: Final answer
    x = 282.40

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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.