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Finding the Fourth Proportional to 233.46, 349.78 and 168.12

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Solution

The fourth proportional to 233.46, 349.78 and 168.12 is: 251.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.46 : 349.78 = 168.12 : x
  2. Step 2: Convert to fraction form
    233.46/349.78 = 168.12/x
  3. Step 3: Cross multiply
    233.46x = 349.78 × 168.12
  4. Step 4: Simplify right side
    233.46x = 58,805.01
  5. Step 5: Solve for x
    x = 58,805.01/233.46
  6. Step 6: Final answer
    x = 251.88

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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.