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Finding the Fourth Proportional to 265.26, 365.94 and 177.90

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Solution

The fourth proportional to 265.26, 365.94 and 177.90 is: 245.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.26 : 365.94 = 177.90 : x
  2. Step 2: Convert to fraction form
    265.26/365.94 = 177.90/x
  3. Step 3: Cross multiply
    265.26x = 365.94 × 177.90
  4. Step 4: Simplify right side
    265.26x = 65,100.73
  5. Step 5: Solve for x
    x = 65,100.73/265.26
  6. Step 6: Final answer
    x = 245.42

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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.