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Finding the Fourth Proportional to 236.10, 323.84 and 236.10

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Solution

The fourth proportional to 236.10, 323.84 and 236.10 is: 323.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    236.10 : 323.84 = 236.10 : x
  2. Step 2: Convert to fraction form
    236.10/323.84 = 236.10/x
  3. Step 3: Cross multiply
    236.10x = 323.84 × 236.10
  4. Step 4: Simplify right side
    236.10x = 76,457.44
  5. Step 5: Solve for x
    x = 76,457.44/236.10
  6. Step 6: Final answer
    x = 323.84

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.