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Finding the Fourth Proportional to 234.05, 350.94 and 89.66

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Solution

The fourth proportional to 234.05, 350.94 and 89.66 is: 134.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.05 : 350.94 = 89.66 : x
  2. Step 2: Convert to fraction form
    234.05/350.94 = 89.66/x
  3. Step 3: Cross multiply
    234.05x = 350.94 × 89.66
  4. Step 4: Simplify right side
    234.05x = 31,465.28
  5. Step 5: Solve for x
    x = 31,465.28/234.05
  6. Step 6: Final answer
    x = 134.44

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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.