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Finding the Fourth Proportional to 233.30, 349.99 and 96.43

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Solution

The fourth proportional to 233.30, 349.99 and 96.43 is: 144.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.30 : 349.99 = 96.43 : x
  2. Step 2: Convert to fraction form
    233.30/349.99 = 96.43/x
  3. Step 3: Cross multiply
    233.30x = 349.99 × 96.43
  4. Step 4: Simplify right side
    233.30x = 33,749.54
  5. Step 5: Solve for x
    x = 33,749.54/233.30
  6. Step 6: Final answer
    x = 144.66

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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.