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Finding the Fourth Proportional to 233.34, 349.97 and 96.23

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Solution

The fourth proportional to 233.34, 349.97 and 96.23 is: 144.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.34 : 349.97 = 96.23 : x
  2. Step 2: Convert to fraction form
    233.34/349.97 = 96.23/x
  3. Step 3: Cross multiply
    233.34x = 349.97 × 96.23
  4. Step 4: Simplify right side
    233.34x = 33,676.09
  5. Step 5: Solve for x
    x = 33,676.09/233.34
  6. Step 6: Final answer
    x = 144.32

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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.