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Finding the Fourth Proportional to 265.92, 367.26 and 178.44

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Solution

The fourth proportional to 265.92, 367.26 and 178.44 is: 246.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.92 : 367.26 = 178.44 : x
  2. Step 2: Convert to fraction form
    265.92/367.26 = 178.44/x
  3. Step 3: Cross multiply
    265.92x = 367.26 × 178.44
  4. Step 4: Simplify right side
    265.92x = 65,533.87
  5. Step 5: Solve for x
    x = 65,533.87/265.92
  6. Step 6: Final answer
    x = 246.44

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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.