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Finding the Fourth Proportional to 233.21, 349.72 and 96.21

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Solution

The fourth proportional to 233.21, 349.72 and 96.21 is: 144.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.21 : 349.72 = 96.21 : x
  2. Step 2: Convert to fraction form
    233.21/349.72 = 96.21/x
  3. Step 3: Cross multiply
    233.21x = 349.72 × 96.21
  4. Step 4: Simplify right side
    233.21x = 33,647.63
  5. Step 5: Solve for x
    x = 33,647.63/233.21
  6. Step 6: Final answer
    x = 144.28

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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.