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Finding the Fourth Proportional to 236.90, 326.75 and 148.31

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Solution

The fourth proportional to 236.90, 326.75 and 148.31 is: 204.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    236.90 : 326.75 = 148.31 : x
  2. Step 2: Convert to fraction form
    236.90/326.75 = 148.31/x
  3. Step 3: Cross multiply
    236.90x = 326.75 × 148.31
  4. Step 4: Simplify right side
    236.90x = 48,460.29
  5. Step 5: Solve for x
    x = 48,460.29/236.90
  6. Step 6: Final answer
    x = 204.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.