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Finding the Fourth Proportional to 234.67, 351.89 and 90.28

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Solution

The fourth proportional to 234.67, 351.89 and 90.28 is: 135.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.67 : 351.89 = 90.28 : x
  2. Step 2: Convert to fraction form
    234.67/351.89 = 90.28/x
  3. Step 3: Cross multiply
    234.67x = 351.89 × 90.28
  4. Step 4: Simplify right side
    234.67x = 31,768.63
  5. Step 5: Solve for x
    x = 31,768.63/234.67
  6. Step 6: Final answer
    x = 135.38

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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.