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Finding the Fourth Proportional to 233.92, 350.72 and 105.60

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Solution

The fourth proportional to 233.92, 350.72 and 105.60 is: 158.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.92 : 350.72 = 105.60 : x
  2. Step 2: Convert to fraction form
    233.92/350.72 = 105.60/x
  3. Step 3: Cross multiply
    233.92x = 350.72 × 105.60
  4. Step 4: Simplify right side
    233.92x = 37,036.03
  5. Step 5: Solve for x
    x = 37,036.03/233.92
  6. Step 6: Final answer
    x = 158.33

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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.