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Finding the Fourth Proportional to 233.48, 350.02 and 96.49

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Solution

The fourth proportional to 233.48, 350.02 and 96.49 is: 144.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.48 : 350.02 = 96.49 : x
  2. Step 2: Convert to fraction form
    233.48/350.02 = 96.49/x
  3. Step 3: Cross multiply
    233.48x = 350.02 × 96.49
  4. Step 4: Simplify right side
    233.48x = 33,773.99
  5. Step 5: Solve for x
    x = 33,773.99/233.48
  6. Step 6: Final answer
    x = 144.65

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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.