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Finding the Fourth Proportional to 233.64, 350.42 and 111.87

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Solution

The fourth proportional to 233.64, 350.42 and 111.87 is: 167.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.64 : 350.42 = 111.87 : x
  2. Step 2: Convert to fraction form
    233.64/350.42 = 111.87/x
  3. Step 3: Cross multiply
    233.64x = 350.42 × 111.87
  4. Step 4: Simplify right side
    233.64x = 39,200.93
  5. Step 5: Solve for x
    x = 39,200.93/233.64
  6. Step 6: Final answer
    x = 167.78

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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.