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Finding the Fourth Proportional to 233.62, 350.40 and 142.29

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Solution

The fourth proportional to 233.62, 350.40 and 142.29 is: 213.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.62 : 350.40 = 142.29 : x
  2. Step 2: Convert to fraction form
    233.62/350.40 = 142.29/x
  3. Step 3: Cross multiply
    233.62x = 350.40 × 142.29
  4. Step 4: Simplify right side
    233.62x = 49,858.42
  5. Step 5: Solve for x
    x = 49,858.42/233.62
  6. Step 6: Final answer
    x = 213.42

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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.