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Finding the Fourth Proportional to 265.09, 397.68 and 82.54

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Solution

The fourth proportional to 265.09, 397.68 and 82.54 is: 123.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.09 : 397.68 = 82.54 : x
  2. Step 2: Convert to fraction form
    265.09/397.68 = 82.54/x
  3. Step 3: Cross multiply
    265.09x = 397.68 × 82.54
  4. Step 4: Simplify right side
    265.09x = 32,822.52
  5. Step 5: Solve for x
    x = 32,822.52/265.09
  6. Step 6: Final answer
    x = 123.82

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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.