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Finding the Fourth Proportional to 233.83, 350.38 and 142.50

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Solution

The fourth proportional to 233.83, 350.38 and 142.50 is: 213.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.83 : 350.38 = 142.50 : x
  2. Step 2: Convert to fraction form
    233.83/350.38 = 142.50/x
  3. Step 3: Cross multiply
    233.83x = 350.38 × 142.50
  4. Step 4: Simplify right side
    233.83x = 49,928.44
  5. Step 5: Solve for x
    x = 49,928.44/233.83
  6. Step 6: Final answer
    x = 213.53

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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.