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Finding the Fourth Proportional to 265.52, 397.84 and 92.09

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Solution

The fourth proportional to 265.52, 397.84 and 92.09 is: 137.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.52 : 397.84 = 92.09 : x
  2. Step 2: Convert to fraction form
    265.52/397.84 = 92.09/x
  3. Step 3: Cross multiply
    265.52x = 397.84 × 92.09
  4. Step 4: Simplify right side
    265.52x = 36,634.87
  5. Step 5: Solve for x
    x = 36,634.87/265.52
  6. Step 6: Final answer
    x = 137.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.