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Finding the Fourth Proportional to 265.25, 397.84 and 82.58

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Solution

The fourth proportional to 265.25, 397.84 and 82.58 is: 123.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.25 : 397.84 = 82.58 : x
  2. Step 2: Convert to fraction form
    265.25/397.84 = 82.58/x
  3. Step 3: Cross multiply
    265.25x = 397.84 × 82.58
  4. Step 4: Simplify right side
    265.25x = 32,854.15
  5. Step 5: Solve for x
    x = 32,854.15/265.25
  6. Step 6: Final answer
    x = 123.86

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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.