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Finding the Fourth Proportional to 234.66, 351.44 and 132.00

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Solution

The fourth proportional to 234.66, 351.44 and 132.00 is: 197.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.66 : 351.44 = 132.00 : x
  2. Step 2: Convert to fraction form
    234.66/351.44 = 132.00/x
  3. Step 3: Cross multiply
    234.66x = 351.44 × 132.00
  4. Step 4: Simplify right side
    234.66x = 46,388.60
  5. Step 5: Solve for x
    x = 46,388.60/234.66
  6. Step 6: Final answer
    x = 197.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.