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Finding the Fourth Proportional to 265.27, 365.82 and 206.17

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Solution

The fourth proportional to 265.27, 365.82 and 206.17 is: 284.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.27 : 365.82 = 206.17 : x
  2. Step 2: Convert to fraction form
    265.27/365.82 = 206.17/x
  3. Step 3: Cross multiply
    265.27x = 365.82 × 206.17
  4. Step 4: Simplify right side
    265.27x = 75,422.86
  5. Step 5: Solve for x
    x = 75,422.86/265.27
  6. Step 6: Final answer
    x = 284.32

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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.