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Finding the Fourth Proportional to 236.07, 354.13 and 82.04

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Solution

The fourth proportional to 236.07, 354.13 and 82.04 is: 123.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    236.07 : 354.13 = 82.04 : x
  2. Step 2: Convert to fraction form
    236.07/354.13 = 82.04/x
  3. Step 3: Cross multiply
    236.07x = 354.13 × 82.04
  4. Step 4: Simplify right side
    236.07x = 29,050.85
  5. Step 5: Solve for x
    x = 29,050.85/236.07
  6. Step 6: Final answer
    x = 123.06

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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.