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Finding the Fourth Proportional to 265.17, 365.97 and 191.73

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Solution

The fourth proportional to 265.17, 365.97 and 191.73 is: 264.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.17 : 365.97 = 191.73 : x
  2. Step 2: Convert to fraction form
    265.17/365.97 = 191.73/x
  3. Step 3: Cross multiply
    265.17x = 365.97 × 191.73
  4. Step 4: Simplify right side
    265.17x = 70,167.43
  5. Step 5: Solve for x
    x = 70,167.43/265.17
  6. Step 6: Final answer
    x = 264.61

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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.