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Finding the Fourth Proportional to 233.87, 350.87 and 96.84

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Solution

The fourth proportional to 233.87, 350.87 and 96.84 is: 145.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.87 : 350.87 = 96.84 : x
  2. Step 2: Convert to fraction form
    233.87/350.87 = 96.84/x
  3. Step 3: Cross multiply
    233.87x = 350.87 × 96.84
  4. Step 4: Simplify right side
    233.87x = 33,977.77
  5. Step 5: Solve for x
    x = 33,977.77/233.87
  6. Step 6: Final answer
    x = 145.29

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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.