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Finding the Fourth Proportional to 265.92, 367.00 and 155.43

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Solution

The fourth proportional to 265.92, 367.00 and 155.43 is: 214.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.92 : 367.00 = 155.43 : x
  2. Step 2: Convert to fraction form
    265.92/367.00 = 155.43/x
  3. Step 3: Cross multiply
    265.92x = 367.00 × 155.43
  4. Step 4: Simplify right side
    265.92x = 57,042.03
  5. Step 5: Solve for x
    x = 57,042.03/265.92
  6. Step 6: Final answer
    x = 214.51

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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.