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Finding the Fourth Proportional to 233.68, 350.49 and 96.71

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Solution

The fourth proportional to 233.68, 350.49 and 96.71 is: 145.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.68 : 350.49 = 96.71 : x
  2. Step 2: Convert to fraction form
    233.68/350.49 = 96.71/x
  3. Step 3: Cross multiply
    233.68x = 350.49 × 96.71
  4. Step 4: Simplify right side
    233.68x = 33,893.65
  5. Step 5: Solve for x
    x = 33,893.65/233.68
  6. Step 6: Final answer
    x = 145.04

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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.