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Finding the Fourth Proportional to 265.91, 398.86 and 83.25

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Solution

The fourth proportional to 265.91, 398.86 and 83.25 is: 124.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.91 : 398.86 = 83.25 : x
  2. Step 2: Convert to fraction form
    265.91/398.86 = 83.25/x
  3. Step 3: Cross multiply
    265.91x = 398.86 × 83.25
  4. Step 4: Simplify right side
    265.91x = 33,204.89
  5. Step 5: Solve for x
    x = 33,204.89/265.91
  6. Step 6: Final answer
    x = 124.88

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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.