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Finding the Fourth Proportional to 265.36, 365.97 and 194.55

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Solution

The fourth proportional to 265.36, 365.97 and 194.55 is: 268.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.36 : 365.97 = 194.55 : x
  2. Step 2: Convert to fraction form
    265.36/365.97 = 194.55/x
  3. Step 3: Cross multiply
    265.36x = 365.97 × 194.55
  4. Step 4: Simplify right side
    265.36x = 71,199.46
  5. Step 5: Solve for x
    x = 71,199.46/265.36
  6. Step 6: Final answer
    x = 268.31

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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.