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Finding the Fourth Proportional to 236.23, 354.36 and 82.14

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Solution

The fourth proportional to 236.23, 354.36 and 82.14 is: 123.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    236.23 : 354.36 = 82.14 : x
  2. Step 2: Convert to fraction form
    236.23/354.36 = 82.14/x
  3. Step 3: Cross multiply
    236.23x = 354.36 × 82.14
  4. Step 4: Simplify right side
    236.23x = 29,106.11
  5. Step 5: Solve for x
    x = 29,106.11/236.23
  6. Step 6: Final answer
    x = 123.21

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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.