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Finding the Fourth Proportional to 236.69, 354.94 and 82.59

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Solution

The fourth proportional to 236.69, 354.94 and 82.59 is: 123.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    236.69 : 354.94 = 82.59 : x
  2. Step 2: Convert to fraction form
    236.69/354.94 = 82.59/x
  3. Step 3: Cross multiply
    236.69x = 354.94 × 82.59
  4. Step 4: Simplify right side
    236.69x = 29,314.49
  5. Step 5: Solve for x
    x = 29,314.49/236.69
  6. Step 6: Final answer
    x = 123.85

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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.