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Finding the Fourth Proportional to 265.54, 398.31 and 82.92

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Solution

The fourth proportional to 265.54, 398.31 and 82.92 is: 124.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.54 : 398.31 = 82.92 : x
  2. Step 2: Convert to fraction form
    265.54/398.31 = 82.92/x
  3. Step 3: Cross multiply
    265.54x = 398.31 × 82.92
  4. Step 4: Simplify right side
    265.54x = 33,027.87
  5. Step 5: Solve for x
    x = 33,027.87/265.54
  6. Step 6: Final answer
    x = 124.38

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