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Finding the Fourth Proportional to 233.53, 350.17 and 96.49

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Solution

The fourth proportional to 233.53, 350.17 and 96.49 is: 144.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.53 : 350.17 = 96.49 : x
  2. Step 2: Convert to fraction form
    233.53/350.17 = 96.49/x
  3. Step 3: Cross multiply
    233.53x = 350.17 × 96.49
  4. Step 4: Simplify right side
    233.53x = 33,788.64
  5. Step 5: Solve for x
    x = 33,788.64/233.53
  6. Step 6: Final answer
    x = 144.68

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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.