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Finding the Fourth Proportional to 234.69, 352.00 and 88.46

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Solution

The fourth proportional to 234.69, 352.00 and 88.46 is: 132.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.69 : 352.00 = 88.46 : x
  2. Step 2: Convert to fraction form
    234.69/352.00 = 88.46/x
  3. Step 3: Cross multiply
    234.69x = 352.00 × 88.46
  4. Step 4: Simplify right side
    234.69x = 31,137.00
  5. Step 5: Solve for x
    x = 31,137.00/234.69
  6. Step 6: Final answer
    x = 132.67

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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.