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Finding the Fourth Proportional to 233.74, 350.64 and 200.92

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Solution

The fourth proportional to 233.74, 350.64 and 200.92 is: 301.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.74 : 350.64 = 200.92 : x
  2. Step 2: Convert to fraction form
    233.74/350.64 = 200.92/x
  3. Step 3: Cross multiply
    233.74x = 350.64 × 200.92
  4. Step 4: Simplify right side
    233.74x = 70,450.59
  5. Step 5: Solve for x
    x = 70,450.59/233.74
  6. Step 6: Final answer
    x = 301.41

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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.