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Finding the Fourth Proportional to 236.14, 354.22 and 82.08

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Solution

The fourth proportional to 236.14, 354.22 and 82.08 is: 123.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    236.14 : 354.22 = 82.08 : x
  2. Step 2: Convert to fraction form
    236.14/354.22 = 82.08/x
  3. Step 3: Cross multiply
    236.14x = 354.22 × 82.08
  4. Step 4: Simplify right side
    236.14x = 29,074.38
  5. Step 5: Solve for x
    x = 29,074.38/236.14
  6. Step 6: Final answer
    x = 123.12

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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.