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Finding the Fourth Proportional to 233.21, 349.81 and 104.96

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Solution

The fourth proportional to 233.21, 349.81 and 104.96 is: 157.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.21 : 349.81 = 104.96 : x
  2. Step 2: Convert to fraction form
    233.21/349.81 = 104.96/x
  3. Step 3: Cross multiply
    233.21x = 349.81 × 104.96
  4. Step 4: Simplify right side
    233.21x = 36,714.05
  5. Step 5: Solve for x
    x = 36,714.05/233.21
  6. Step 6: Final answer
    x = 157.43

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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.