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Finding the Fourth Proportional to 236.10, 354.06 and 82

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Solution

The fourth proportional to 236.10, 354.06 and 82 is: 122.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    236.10 : 354.06 = 82 : x
  2. Step 2: Convert to fraction form
    236.10/354.06 = 82/x
  3. Step 3: Cross multiply
    236.10x = 354.06 × 82
  4. Step 4: Simplify right side
    236.10x = 29,032.92
  5. Step 5: Solve for x
    x = 29,032.92/236.10
  6. Step 6: Final answer
    x = 122.97

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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.