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Finding the Fourth Proportional to 233.72, 350.68 and 96.79

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Solution

The fourth proportional to 233.72, 350.68 and 96.79 is: 145.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.72 : 350.68 = 96.79 : x
  2. Step 2: Convert to fraction form
    233.72/350.68 = 96.79/x
  3. Step 3: Cross multiply
    233.72x = 350.68 × 96.79
  4. Step 4: Simplify right side
    233.72x = 33,942.71
  5. Step 5: Solve for x
    x = 33,942.71/233.72
  6. Step 6: Final answer
    x = 145.23

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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.