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Finding the Fourth Proportional to 233.26, 349.84 and 96.29

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Solution

The fourth proportional to 233.26, 349.84 and 96.29 is: 144.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.26 : 349.84 = 96.29 : x
  2. Step 2: Convert to fraction form
    233.26/349.84 = 96.29/x
  3. Step 3: Cross multiply
    233.26x = 349.84 × 96.29
  4. Step 4: Simplify right side
    233.26x = 33,685.24
  5. Step 5: Solve for x
    x = 33,685.24/233.26
  6. Step 6: Final answer
    x = 144.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.