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Finding the Fourth Proportional to 234, 351 and 89.78

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Solution

The fourth proportional to 234, 351 and 89.78 is: 134.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    234 : 351 = 89.78 : x
  2. Step 2: Convert to fraction form
    234/351 = 89.78/x
  3. Step 3: Cross multiply
    234x = 351 × 89.78
  4. Step 4: Simplify right side
    234x = 31,511.03
  5. Step 5: Solve for x
    x = 31,511.03/234
  6. Step 6: Final answer
    x = 134.66

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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.