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Finding the Fourth Proportional to 265.87, 398.87 and 83.27

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Solution

The fourth proportional to 265.87, 398.87 and 83.27 is: 124.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.87 : 398.87 = 83.27 : x
  2. Step 2: Convert to fraction form
    265.87/398.87 = 83.27/x
  3. Step 3: Cross multiply
    265.87x = 398.87 × 83.27
  4. Step 4: Simplify right side
    265.87x = 33,213.90
  5. Step 5: Solve for x
    x = 33,213.90/265.87
  6. Step 6: Final answer
    x = 124.93

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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.